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  1. 28 International Journal of Applied Mechanics and Engineering
  2. 6 Chemical Engineering and Equipment
  3. 6 Inżynieria i Aparatura Chemiczna
  4. 6 Mechanics and Mechanical Engineering
  5. 3 Przemysł Chemiczny
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  1. 4 Kishan N.
  2. 4 Peryt-Stawiarska S.
  3. 3 Ghaly A. Y.
  4. 3 Jaworski Z.
  5. 2 Bouyahia F.
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  1. 1 2023
  2. 1 2019
  3. 2 2017
  4. 3 2016
  5. 2 2015
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1
Content available Lubrication of asymmetric rollers considering viscosity as function of mean temperature
Lanka Swetha, Sajja Venkata Subrahmanyam, Prasad Dhaneshwar
International Journal of Applied Mechanics and Engineering
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2023
|
Vol. 28, no. 2
49--63
EN
A theoretical analysis of an asymmetric roller bearing system with cavitation that is hydro-dynamically lightly loaded and lubricated by a thin, incompressible fluid is presented. The lubricant adheres to the non-Newtonian Bingham plastic fluid concept, in which the viscosity of the fluid should change depending on the mean film temperature. The continuity and momentum equations, which regulate fluid flow, are first solved analytically and then numerically using MATLAB. Through graphs and tables, some key bearing features are addressed and further explained. This leads to the conclusion that there is a discernible difference between Newtonian and non-Newtonian fluids in terms of pressure, temperature, load, and traction. The findings are good in line with the body of literature.
2
Content available Homotopy simulation of non-Newtonian Spriggs fluid flow over a flat plate with oscillating motion
Ray A. K., Vasu B., Gorla R. S. R.
International Journal of Applied Mechanics and Engineering
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2019
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Vol. 24, no. 2
359--385
EN
An incompressible flow of a non-Newtonian Spriggs fluid over an unsteady oscillating plate is investigated using the Homotopy Analysis Method (HAM). An analytic solution of sine and cosine oscillations of the plate has been obtained. The similarity transformation is introduced to reduce the governing partial differentia equations into a single non-linear dimensionless partial differential equation. The effects of the power index of Spriggs fluid and convergence control parameter of HAM for the flow are studied extensively. The range of the convergence control parameter for convergence of series solution for different values of the power index of Spriggs fluid is obtained. The solution for a Spriggs fluid is noticeably different from the solution obtained for a Newtonian fluid. The influences of the shear thinning and shear thickening fluid on the velocity profile are shown graphically. The transient flow effect is higher for non-Newtonian Spriggs fluid than that of a Newtonian fluid. It is also observed that the interval to reach the steady state for the cosine case is less than the sine case. The applications of Stokes’ second problem have been widely found in the variety of fields of biomedical, medical, chemical, micro and nanotechnology.
3
Content available Curvilinear squeeze film bearing lubricated with a DeHaven fluid or with similar fluids
Walicka A., Jurczak P., Falicki J.
International Journal of Applied Mechanics and Engineering
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2017
|
Vol. 22, no. 3
697--715
EN
In the paper, the model of a DeHaven fluid and some other models of non-Newtonian fluids, in which the shear strain rates are known functions of the powers of shear stresses, are considered. It was demonstrated that these models for small values of material constants can be presented in a form similar to the form of a DeHaven fluid. This common form, called a unified model of the DeHaven fluid, was used to consider a curvilinear squeeze film bearing. The equations of motion of the unified model, given in a specific coordinate system are used to derive the Reynolds equation. The solution to the Reynolds equation is obtained by a method of successive approximations. As a result one obtains formulae expressing the pressure distribution and load-carrying capacity. The numerical examples of flows of the unified DeHaven fluid in gaps of two simple squeeze film bearings are presented.
4
Content available Rheological Properties of Typical Ceramic Slurries Used in the Lost Wax Technology
Kolczyk J., Jamrozowicz Ł., Kaźnica N.
Archives of Foundry Engineering
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2017
|
Vol. 17, iss. 1
197--201
EN
The results of investigations of the rheological properties of typical ceramic slurries used in the investment casting technology – the lost wax technology are presented in the paper. Flow curves in the wide range of shear velocity were made. Moreover, viscosity of ceramic slurries depending on shearing stresses was specified. Tests were performed under conditions of three different temperatures 25, 30 and 35oC, which are typical and important in the viewpoint of making ceramic slurries in the investment casting technology. In the light of the performed investigations can be said that the belonging in group of Newtonian or Non – Newtonian fluid is dependent on content of solid phase (addition of aluminum oxide) in the whole composition of liquid ceramic slurries.
5
Content available Badania właściwości reologicznych kefirów
Modzelewska D., Dołhańczuk-Śródka A., Ziembik Z.
Proceedings of ECOpole
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2016
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Vol. 10, No. 1
219--237
PL
Celem pracy było oszacowanie możliwości wykorzystania metod reologicznych do oceny właściwości płynnych produktów spożywczych. Opisano najczęściej spotykane rodzaje cieczy rzeczywistych oraz metody badawcze służące do ich identyfikacji. Rozważania teoretyczne uzupełniono prezentacją wyników badań polegających na prześledzeniu zmian właściwości reologicznych kefiru podczas przechowywania. Badania przeprowadzono na jednym rodzaju komercyjnie dostępnego kefiru. Badania właściwości reologicznych przeprowadzono z wykorzystaniem wiskozymetru rotacyjnego DV2T RV firmy Brookfield typu stożek-płytka, wyposażonego we wrzeciono pomiarowe CPA-42Z. Dokonanie analizy wyników badań pozwoliło na zakwalifikowanie badanego materiału do jednej z reologicznych grup płynów oraz ocenę zmiany jego cech reologicznych po otwarciu, podczas 8-dniowego okresu przechowywania w warunkach chłodniczych. Stwierdzono, że badany kefir należy do nienewtonowskich płynów rozrzedzanych ścinaniem, pozbawionych granicy płynięcia (pseudoplastycznych) i wykazujących zjawisko tiksotropii. Właściwości reologiczne otwartego produktu mlecznego zmieniają się wraz z czasem przechowywania.
EN
The aim of the study was to assess the possibility of rheological methods application in liquid food products properties evaluation. The most common types of real liquids and methods of their identification were described. Additionally to the theoretical considerations the research results of changes in the rheological properties of kefir during storage were described. In tests a commercially available kefir type was used. Rheological properties investigations were carried out using a rotational viscometer DV2T RV from Brookfield, cone-plate, equipped with a measuring spindle CPA-42Z. Analysis of the test results allowed classification of the material to one of the rheological groups of fluids and assessment of changes in the rheological characteristics of the opening. It has been found that the kefir considered to be non-Newtonian shear thinning fluid, without yield point (pseudoplastic), and exhibiting a thixotropic effect. The results indicates changes in the rheological properties of the opened kefir while storage.
6
Content available Peristaltic flow and heat transfer of a conducting Phan-Thien-Tanner fluid in an asymmetric channel – application to chyme movement in small intestine
Vajravelu K., Sreenadh S., Dhananjaya S., Lakshminarayana P.
International Journal of Applied Mechanics and Engineering
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2016
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Vol. 21, no. 3
713--736
EN
In this paper, the influence of heat transfer on the peristaltic flow of a conducting Phan-Thien-Tanner fluid in an asymmetric channel with porous medium is studied. The coupled nonlinear governing differential equations are solved by a perturbation technique. The expressions for the temperature field, the stream function, the axial velocity, and the pressure gradient are obtained. The effects of the various physical parameters such as the magnetic parameter M, the permeability parameter σ, the Brinkman number Br and the Weissenberg number We on the pumping phenomenon are analyzed through graphs and the results are discussed in detail. It is observed that the velocity and the pressure are decreased with increasing the magnetic parameter M whereas the effect of the parameter M on the temperature field is quite the opposite.
7
Content available Effect of slip condition on vertical channel flow in the presence of radiation
Guria M.
International Journal of Applied Mechanics and Engineering
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2016
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Vol. 21, no. 2
341--358
EN
An analysis is made on the three dimensional flow of a viscous incompressible fluid through a vertical channel in the presence of radiation in slip flow regime. The right plate is subjected to an uniform injection and the left plate to a periodic suction velocity distribution. The velocity and temperature fields have been derived using the perturbation technique. It is found that the velocity decreases with the increase of the slip parameter. It is also found that the velocity decreases with the increase of the radiation parameter but near the right plate it increases. For cooling of the plate, the velocity increases with the increase of the Grashoff number and decreases near the right plate but the reverse effect is observed for heating the plate.
8
Content available Review of applied mathematical models for describing the behaviour of aqueous humor in eye structures
Dzierka M., Jurczak P.
International Journal of Applied Mechanics and Engineering
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2015
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Vol. 20, no. 4
757--772
EN
In the paper, currently used methods for modeling the flow of the aqueous humor through eye structures are presented. Then a computational model based on rheological models of Newtonian and non-Newtonian fluids is proposed. The proposed model may be used for modeling the flow of the aqueous humor through the trabecular meshwork. The trabecular meshwork is modeled as an array of rectilinear parallel capillary tubes. The flow of Newtonian and non-Newtonian fluids is considered. As a results of discussion mathematical equations of permeability of porous media and velocity of fluid flow through porous media have been received.
9
Content available remote Friction curves transformation of non-Newtonian fluids in coils
Matras Z.
Czasopismo Techniczne. Mechanika
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2015
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Y. 112, iss. 1-M
39--48
EN
The transformation of pseudo-Newtonian dimensionless numbers: Re and fs, describing flow of power-law non-Newtonian fluids in circularly curved tubes, has been done. It has been shown that the multi-parameter friction curves of power-law non-Newtonian fluid can be described, in new dimensionless coordinate system, with the help of single curve in the laminar as well as turbulent flow region. Moreover, the criterion of transition from laminar to turbulent region was clearly determined.
PL
Przeprowadzono transformację pseudonewtonowskich liczb bezwymiarowych opisujących przepływ płynów nienewtonowskich, spełniających prawo potęgowe, w rurach zwiniętych kołowo. Wykazano, że wieloparametrowe krzywe oporów potęgowych cieczy nienewtonowskich mogą być opisane w nowym układzie bezwymiarowych współrzędnych za pomocą pojedynczej krzywej zarówno w zakresie laminarnym, jak i turbulentnym. Ponadto jednoznacznie określono kryterium przejścia od ruchu laminarnego do turbulentnego.
10
Content available remote Przepływ płynu nienewtonowskiego przez mieszalnik statyczny Kenics : ocena wpływu geometrii wkładki (H/D) na hydrodynamikę
Stawiarska-Peryt S.
Przemysł Chemiczny
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2014
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T. 93, nr 1
107-110
PL
Przedstawiono wyniki symulacji numerycznych CFD przepływu płynu nienewtonowskiego przez mieszalnik statyczny Kenics o smukłości H/D = 1–2. Symulacje wykonano w trybie ustalonym dla przepływu opisanego liczbą Reynoldsa Re = 5 oraz 15. Modelem zamykającym dla płynu nienewtonowskiego był model Crossa. Wyniki symulacji CFD porównano z wynikami badań eksperymentalnych LDA dla wkładki o smukłości H/D = 1,5.
EN
Non-Newtonian fluid flow through the Kenics static mixer for varying height/diam. ratio (H/D 1.0, 1.5, 2.0) was studied by using computational fluid dynamic (CFD) method. The simulations were carried out both for steady state and Reynolds nos. 5 and 15. Cross model was used. As a closure model for non-Newtonian fluid. The CFD data were compared with exptl. data from laser Doppler anemometry measurements carried out for mixing element with H/D 1.5. Applicability of the Cross model for eng. calcns. at low Reynolds nos. was confirmed.
11
Content available remote Analiza numeryczna CFD przepływu płynu nienewtonowskiego przez mieszalnik statyczny SMX
Peryt-Stawiarska S.
Przemysł Chemiczny
|
2014
|
T. 93, nr 2
196-198
PL
Przedstawiono wyniki symulacji CFD (computational fluid dynamics) wykonane dla laminarnego przepływu płynu nienewtonowskiego przez mieszalnik statyczny SMX. Modelem zamykającym dla płynu nienewtonowskiego był model Crossa. Wyniki symulacji CFD porównano z wynikami badań eksperymentalnych metodą laserowej anemometrii Dopplera LDA (laser Doppler anemometry). Dobrą zgodność danych doświadczalnych i numerycznych uzyskano w warstwie przyściennej. Przedstawiono również wstępne wyniki symulacji CFD wykonane dla modelu zamykającego Giesekusa oraz liczby Re = 12.
EN
Non-Newtonian laminar fluid flow through a static mixer were simulated by computational fluid dynamics (CFD) method. As the closure model for non-Newtonian fluid Cross model was assumed. The CFD results were compared with exptl. data (carboxymethyl cellulose soln.) from laser Doppler anemometry. The exptl. and numerical results were similar in the wall region. The preliminary CFD results for Giesekus closure model (Re = 12) were also presented.
12
Content available remote Investigation on the Film Flow of a Third Grade Fluid on an Inclined Plane Using HPM
Azimi M., Azimi A.
Mechanics and Mechanical Engineering
|
2014
|
Vol. 18, nr 1
5--10
EN
This work concerns the study of the thin film flow problem arising in non–Newtonian fluid mechanics using analytical approach. The governing equations are reduced to ordinary nonlinear boundary value problem by applying the transformation method. Homotopy Perturbation Method (HPM) has been applied to obtain solution of reduced nonlinear boundary value problem. The analytical solutions of the flow velocity distributions for different cases have been presented. The effect of material constant has also discussed. Finally, analytical results have been compared with numerical one obtained by forth order Runge Kutta method. High accuracy and validity are the advantages of present study.
13
Content available Możliwości zastosowania numerycznej mechaniki płynów (CFD) do symulacji przepływu krwi przez tętnice wieńcowe. Przykłady segmentacji obrazów tomografii komputerowej i budowy modelu do obliczeń CFD
Peryt-Stawiarska S., Wasilewski J
Inżynieria i Aparatura Chemiczna
|
2014
|
Nr 6
403--405
PL
W pracy przedstawiono wyniki symulacji numerycznych CFD przepływu krwi przez lewą i prawą tętnicę wieńcową. Symulacje wykonano w oparciu o segmentację obrazów angiograficznych uzyskanych za pomocą wielowarstwowej tomografii komputerowej. Otrzymane wyniki zostały przedstawione w postaci rozkładów wartości naprężeń ścinających na ściance WSS. Dane te jakościowo porównane z danymi literaturowymi. Stwierdzono, że metoda CFD z powodzeniem może być stosowana do symulacji przepływu krwi przez tętnice wieńcowe.
EN
CFD results of blood flow through the left and right coronary artery are presented in the paper. Simulations were performed based on geometry obtained through the segmentation of angiographic images using computer tomography. The results are shown in a form of wall shear stress (WSS) distribution. A qualitative comparison of simulation results with the data taken from literature was carried out. It was found that the CFD method can be successfully used to simulate the blood flow through the coronary arteries.
14
Content available Analiza charakterystyk reologicznych płynu nienewtonowskiego na przykładzie wodnego roztworu soli sodowej karboksymetylocelulozy (CMC)
Peryt-Stawiarska S., Murasiewicz H., Jaworski Z.
Inżynieria i Aparatura Chemiczna
|
2014
|
Nr 3
165--166
PL
Wyznaczono charakterystyki reologiczne wodnego roztworu soli sodowej karboksymetylocelulozy (CMC typ Blanose 9H4) o stężeniu 1,0% oraz 2,0% w temperaturach 20; 30; 40 i 50ºC. Pomiary wykonano za pomocą reometru modułowego MCR 301 firmy Anton Paar w układzie stożek-płytka. Sporządzono wykresy zależności lepkości i naprężenia stycznego od szybkości ścinania. W zakresie od 20 do 50ºC stwierdzono istotny wpływ temperatury na lepkość roztworu CMC o stężeniu 1,0%. Natomiast dla roztworu CMC o stężeniu 2,0% wpływu temperatury na własności reologiczne nie ustalono. Przedstawiono dopasowanie modelu Ostwalda-de Waele’a oraz modelu w postaci wielomianu logarytmicznego czwartego stopnia do danych eksperymentalnych. Bardzo dobre dopasowanie danych otrzymano dla modelu wielomianowego.
EN
Rheological characteristics for carboxymethyl cellulose (CMC Blanose 9H4 type) aqueous solution with concentration equal to 1.0% wt. and 2.0% wt. at temperatures of 20, 30, 40, 50 ͦC were determined. Measurements were per-formed using the modular MCR 301 Anton Paar rheometer. In a temperature range from 20°C to 50°C a significant influence of temperature on viscosity was observed for 1.0% wt. CMC solution. For 2.0% wt. CMC solution the influence of temperature on rheological properties were not established. The non-Newtonian power-law and polynomial of fourth degree models were compared with experimental data. It can be stated that the polynomial model fits better the experimental results.
15
Content available Magneto-hydro dynamic flow and heat transfer of non-Newtonian power-law fluid over a non-linear stretching surface with viscous dissipation
Kishan N., Kavitha P.
International Journal of Applied Mechanics and Engineering
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2014
|
Vol. 19, no. 2
259--273
EN
A fluid flow and heat transfer analysis of an electrically conducting non-Newtonian power law fluid flowing over a non-linear stretching surface in the presence of a transverse magnetic field taking into consideration viscous dissipation effects is investigated. The stretching velocity, the temperature and the transverse magnetic field are assumed to vary in a power-law with the distance from the origin. The flow is induced due to an infinite elastic sheet which is stretched in its own plane. The governing equations are reduced to non-linear ordinary differential equations by means of similarity transformations. By using quasi-linearization techniques first linearize the non linear momentum equation is linearized and then the coupled ordinary differential equations are solved numerically by an implicit finite difference scheme. The numerical solution is found to be dependent on several governing parameters, including the magnetic field parameter, power-law index, Eckert number, velocity exponent parameter, temperature exponent parameter, modified Prandtl number and heat source/sink parameter. A systematic study is carried out to illustrate the effects of these parameters on the fluid velocity and the temperature distribution in the boundary layer. The results for the local skin-friction coefficient and the local Nusselt number are tabulated and discussed.
16
Content available Numerical investigations of pulsatile flow in stenosed artery
Bit A., Chattopadhyay H.
Acta of Bioengineering and Biomechanics
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2014
|
Vol. 16, no. 4
33--44
EN
Purpose: Abnormalities in blood vessels by virtue of complex blood flow dynamics is being supported by non-Newtonian behavior of blood. Thus it becomes a focus of research to most of the researchers. Additionally, consideration of real life patient specific model of vessel as well as patient specific inlet flow boundary condition implementation was limited in literature. Thus a thorough implementation of these considerations was done here.Method: In this work, a numerical investigation of hemodynamic flow in stenosed artery has been carried out with realistic pulsating profile at the inlet. Flow has been considered to be laminar due to arresting condition of cardiovascular state of the subject. Two non-Newtonian rheological models namely, Power Law viscosity model and Quemada viscosity model have been used. Two different patient-specific pulsatile profiles are considered at the inlet of a long stenosed artery with varying degree of stenoses from 25% to 80%. Results: Transient form of Navier-Stokes equation is solved in an axi-symmetric domain to calculate the detailed flow structure of the flow field. From the simulation data, temporal and time averaged wall shear stress, oscillatory shear index and pressure drop are calculated. Conclusions: The results demonstrate that oscillatory shear index and wall shear stresses areextensively governed by the degree of stenoses. The position and movement of recirculation bubbles are found to vary with flow Reynolds number.
17
Content available Numerical solution of non-Newtonian fluids flow past an accelerated vertical infinite plate in the presence of free convection currents
Patel M., Timol M. G.
International Journal of Applied Mechanics and Engineering
|
2013
|
Vol. 18, no. 3
761--777
EN
A similarity analysis of non-Newtonian fluid flow past an accelerated vertical infinite plate in the presence of free convection current is carried out. A group theoretic generalized dimensional analysis is employed to achieve the governing non-linear ordinary differential equations in the most general form. Numerical solutions of these equations are given with the plot of their velocity profiles with the effects of Pr-Prandtl number and Gr-Grashof number.
18
Content available MHD effects on non-Newtonian power-law fluid past a continuously moving porous flat plate with heat flux and viscous dissipation
Kishan N., Shashidar Reddy B.
International Journal of Applied Mechanics and Engineering
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2013
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Vol. 18, no. 2
425--445
EN
The problem of a magneto-hydro dynamic flow and heat transfer to a non-Newtonian power-law fluid flow past a continuously moving flat porous plate in the presence of sucion/injection with heat flux by taking into consideration the viscous dissipation is analysed. The non-linear partial differential equations governing the flow and heat transfer are transformed into non-linear ordinary differential equations using appropriate transformations and then solved numerically by an implicit finite difference scheme. The solution is found to be dependent on various governing parameters including the magnetic field parameter M, power-law index n, suction/injection parameter ƒw, Prandtl number Pr and Eckert number Ec. A systematical study is carried out to illustrate the effects of these major parameters on the velocity profiles, temperature profile, skin friction coefficient and rate of heat transfer and the local Nusslet number.
19
Content available Modelling of the pathological bile flow in the duct with a calculus
Kuchumov A. G., Nyashin Y. I., Samarcev V. A., Gavrilov V. A.
Acta of Bioengineering and Biomechanics
|
2013
|
Vol. 15, no. 4
9--17
EN
The aim of the present paper is to develop an analytical model for description of the pathological bile flow in the major duodenal papilla duct with a calculus. The problem is separated into two parts. The first part deals with determination of bile behaviour and constitutive relation parameters of the pathological bile. The viscosity vs. shear rate, the viscosity vs. time, and shear stress vs. shear rate dependences are obtained for different types of bile taken from patients of different age and sex. As a result, the approximation of curves described by the Casson equation was obtained. It was shown that the pathological bile is a thixotropic non-Newtonian fluid. The second part is directly related to modelling of the bile flow in the duct with a calculus. As a result of solving the problem, the bile velocity profile, flow rate vs. time, and bile pressure vs. calculus radius were obtained. The dependences obtained may play an important role in the assessment of an indication to operation.
20
Content available remote Viscous dissipation effects on MHD flow of a conducting power-law fluid with a pressure gradient
Kishan N., Shashidar Reddy B.
International Journal of Applied Mechanics and Engineering
|
2012
|
Vol. 17, no. 1
101-112
EN
The problem of a steady two-dimensional flow of a conducting power-law fluid past a flat plate in the presence of a transverse magnetic field under the influence of a pressure gradient by considering viscous dissipation effects is studied. The resulting governing partial differential equations are transformed into a set of non linear ordinary differential equations using appropriate transformation. The set of non linear ordinary differential equations is first linearized by using the Quasi-linearization technique and then solved numerically by using an implicit finite difference scheme. The system of algebraic equations is solved by using the Gauss-Seidal iterative method. The energy equation for a special case for which a similarity solution exist is also considered. The effects of the power-law index, magnetic parameter, viscous dissipation and generalized Prandtl number on the velocity and temperature profiles are of special interest. Numerical results are tabulated for the skin friction co-efficient. Velocity and temperature profiles are drawn for different controlling parameters which reveal the tendency of the solution.
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