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  1. 17 International Journal of Applied Mechanics and Engineering
  2. 3 Open Physics
  3. 2 Journal of Applied Mathematics and Computational Mechanics
  4. 1 Applied Mechanics and Engineering
  5. 1 Archives of Thermodynamics
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  1. 2 2021
  2. 3 2020
  3. 3 2019
  4. 2 2018
  5. 1 2016
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  1. 2 Abel M. S.
  2. 2 Gireesha B. J.
  3. 2 Kishan N.
  4. 2 Kumar K. G.
  5. 2 Mahabaleswar U. S.
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1
Content available remote Reply to the comments on: ”Series solution of hydromagnetic flow and heat transfer with Hall effect in a second grade fluid over a stretching sheet”
100%
Zaman H. , Ayub M.
Open Physics
|
2010
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tom 8
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nr 3
516-518
EN
In this reply to comment on ”Series solution of hydromagnetic flow and heat transfer with Hall effect in a second grade fluid over a stretching sheet” by R. A. Van Gorder and K. Vajravelu manuscript [R. A. Van Gorder, K. Vajravelu, Cent. Eur. J. Phys., DOI:10. 2478/s11534-009-0145-2], we once again claim that the governing similarity equations of Vajravelu and Roper [K. Vajravelu, T. Roper, Int. J. Nonlin. Mech. 34, 1031 (1999)] are incorrect and our claim in [M. Ayub, H. Zaman, M. Ahmad, Cent. Eur. J. Phys. 8, 135 (2010)] is true. For the literature providing justification regarding this issue is discussed in detail.
2
Content available remote Comment on “Series solution of hydromagnetic flow and heat transfer with hall effect in a second grade fluid over a stretching sheet”
100%
Gorder R. , Vajravelu K.
Open Physics
|
2010
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tom 8
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nr 3
514-515
EN
In a recently accepted paper of M. Ayub, H. Zaman and M. Ahmad [Cent. Eur. J. Phys. 8, 135 (2010)] the authors claim that the governing similarity equations of Vajravelu and Roper [Int. J. Nonlin. Mech. 34, 1031 (1999)] are incorrect; without any justification, the authors Ayub et al. simply mention that the equation is “found to be incorrect in the literature” (though no reference supporting this assertion is provided in the citations). We show that this assertion of Ayub et al. is wrong, and that the similarity equation of Vajravelu and Roper is indeed correct.
3
Content available remote Two-dimensional oblique stagnation-point flow towards a stretching surface in a viscoelastic fluid
88%
Husain I. , Labropulu F. , Pop I.
Open Physics
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2011
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tom 9
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nr 1
176-182
EN
In this paper, the steady two-dimensional stagnation-point flow of a viscoelastic Walters’ B’ fluid over a stretching surface is examined. It is assumed that the fluid impinges on the wall obliquely. Using similarity variables, the governing partial differential equations are transformed into a set of two non-dimensional ordinary differential equations. These equations are then solved numerically using the shooting method with a finite-difference technique.
4
Numerical solutions for heat transfer in a micropolar fluid over a stretching sheet
88%
Hassanien I. A. , Abdullah A. A. , Gorla R. S. R.
Applied Mechanics and Engineering
|
1998
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tom Vol. 3, no 3
377-391
EN
The boundary layer flow and heat transfer from a stretching sheet to a microplar fluid are investigated. The governing equations for momentum, angular momentum and energy have been solved numerically by means of the Chebyshev spectral method. Numerical data for the friction factor and Nusselt number has been tabulated. Surface mass transfer and the power law constant for the wall temperature have considerable influence on the heat transfer rate.
5
Content available remote A theoretical study of the effect of a non-uniform heat source on heat transfer in a viscoelastic liquid flow over a stretching sheet
75%
Nandeppanavar M. M. , Abel M. S. , Malipatil S.
International Journal of Applied Mechanics and Engineering
|
2009
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tom Vol. 14, no 4
1039-1052
EN
A theoretical study of heat transfer in a visco-elastic liquid flow due to a stretching sheet in the presence of non-uniform heat generation / absorption is investigated. The stretching of the sheet is assumed to be proportional to the perpendicular distance from the slit. Two different temperature conditions are studied, viz., (i) the sheet with the prescribed surface temperature (PST) and (ii) the sheet with the prescribed wall heat flux (PHF). The non-linear boundary layer equations for momentum are converted into non-linear ordinary differential equations by means of a similarity transformation and the same is solved exactly. The heat transport equation with variable coefficients is transformed into a confluent hypergeometric differential equation and solved analytically. The effect of various parameters on the temperature distribution is presented graphically. Present results are compared with the existing theoretical data and found in good agreement with these results. The results have technological applications in liquid based systems involving stretchable materials.
6
Content available remote Similiarity solutions for the unsteady boundary layer flow and heat transfer due to a stretching sheet
75%
Sharidan S. , Mahmood T. , Pop I.
International Journal of Applied Mechanics and Engineering
|
2006
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tom Vol. 11, no 3
647-654
EN
A similarity analysis is presented to investigate the unsteady boundary layers over a stretching sheet for special distributions of the stretching velocity and surface temperature or surface heat flux. The governing unsteady boundary layer equations are reduced to ordinary differential equations with two parameters, the Prandtl number and the unsteadiness parameter. These equations are solved numerically for some values of the governing parameters using the Keller-box method. Some flow and heat transfer characteristics are determined and discussed in detail.
7
Content available Spectral-homotopy analysis of MHD non-orthogonal stagnation point flow of a nanofluid
75%
Chaharborj S. , Moameni A.
Journal of Applied Mathematics and Computational Mechanics
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2018
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tom Vol. 17, nr 1
15--28
EN
In this article, we investigate the theoretical study of the magnetohy-drodynamic (MHD) non-orthogonal stagnation point flow of a nanofluid towards a stretching. The partial differential equations that model the problem are reduced to ordinary differential equations which are then solved analytically using the improved Spectral Homotopy Analysis Method (SHAM). Comparisons of our results from SHAM and numerical solutions show that this method is a capable tool for solving this type of linear and nonlinear problems semi-analytically.
8
Content available Effects of pressure gradient on convective heat transfer in a boundary layer flow of a Maxwell fluid past a stretching sheet
75%
Kashif A. N. , Salah F. , Sankar D. S. , Izyan M. D. N. , Viswanathan K. K.
International Journal of Applied Mechanics and Engineering
|
2021
|
tom Vol. 26, no. 3
104--118
EN
The pressure gradient term plays a vital role in convective heat transfer in the boundary layer flow of a Maxwell fluid over a stretching sheet. The importance of the effects of the term can be monitored by developing Maxwell’s equation of momentum and energy with the pressure gradient term. To achieve this goal, an approximation technique, i.e. Homotopy Perturbation Method (HPM) is employed with an application of algorithms of Adams Method (AM) and Gear Method (GM). With this approximation method we can study the effects of the pressure gradient [...], Deborah number [...], the ratio of the free stream velocity parameter to the stretching sheet parameter [...] and Prandtl number [...] on both the momentum and thermal boundary layer thicknesses. The results have been compared in the absence and presence of the pressure gradient term m. It has an impact of thinning of the momentum and boundary layer thickness for non-zero values of the pressure gradient. The convergence of the system has been taken into account for the stretching sheet parameter. The result of the system indicates the significant thinning of the momentum and thermal boundary layer thickness in velocity and temperature profiles.
9
Content available Non-perturbative solution for hydromagnetic flow over a linearly stretching sheet
75%
Makinde O. D. , Mahabaleswar U. S. , Maheshkumar N.
International Journal of Applied Mechanics and Engineering
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2013
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tom Vol. 18, no. 3
935--943
EN
In this paper, the Adomian decomposition method with Padé approximants are integrated to study the boundary layer flow of a conducting fluid past a linearly stretching sheet under the action of a transversely imposed magnetic field. A closed form power series solution based on Adomian polynomials is obtained for the similarity nonlinear ordinary differential equation modelling the problem. In order to satisfy the farfield condition, the Adomian power series is converted to diagonal Padé approximants and evaluated. The results obtained using ADM-Padé are remarkably accurate compared with the numerical results. The proposed technique can be easily employed to solve a wide range of nonlinear boundary value problems.
10
Content available remote Viscoelastic liquid flow and heat transfer over a stretching sheet in porous medium with nonuniform heat source
75%
Abel M. S. , Nandeppanavar M. M. , Malkhed M. B.
International Journal of Applied Mechanics and Engineering
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2009
|
tom Vol. 14, no 1
5-19
EN
This paper presents an analytical study of a steady boundary layer visco-elastic liquid flow over a non-isothermal stretching sheet embedded in a porous medium in the presence of non-uniform heat generation / absorption. The stretching of the sheet is assumed to be proportional to the perpendicular distance from the slit. Two different temperature conditions are considered, viz., (i) the sheet with a prescribed surface temperature (PST) and (ii) the sheet with a prescribed wall heat flux (PHF). The non-linear boundary layer equations for momentum are converted into non-linear ordinary differential equations by means of a similarity transformation and the same is solved exactly. The heat transport equation with variable coefficients is transformed into a confluent hypergeometric differential equation and solved analytically. The effect of various parameters on the temperature distribution is presented graphically. The numerical calculations have been carried out for various values of non-dimensional physical parameters, the results tabulated the results and discussed.
11
Content available remote On the Effectiveness of Heat Generation/Absorption on Heat Transfer in a Stagnation Point Flow of a Micropolar Fluid over a Stretching Surface
75%
Attia H. A.
Mechanics and Mechanical Engineering
|
2009
|
tom Vol. 13, nr 1
79-84
EN
The heat transfer in a steady laminar stagnation point flow of an incompressible non-Newtonian micropolar fluid impinging on a permeable stretching surface with heat generation or absorption is investigated. Numerical solution for the governing nonlinear momentum and energy equations is obtained. The effect of the characteristics of the non-Newtonian fluid, the surface stretching velocity, and the heat generation/absorption coefficient on the heat transfer is presented.
12
Content available remote Cattaneo-christov heat flux on an MHD 3D free convection casson fluid flow over a stretching sheet
75%
Shankar D. G. , Raju C. S. K. , Kumar M. S. J. , Makinde O. D.
Engineering Transactions
|
2020
|
tom Vol. 68, iss. 3
223--238
EN
In this investigation, we analyze the magnetohydrodynamic (MHD) three-dimensional (3D) flow of Casson fluid over a stretching sheet using non-Darcy porous medium with heat source/sink. We also consider the Cattaneo-Christov heat flux and Joule effect. The governing partial differential equations (PDEs) are transformed into ordinary differential equations (ODEs) using suitable transformations and solved by using the shooting technique. The effects of the non-dimensional governing parameters on velocity and temperature profiles are discussed with the graphs. Also, the skin friction coefficient and Nusselt number are discussed through tables. We also validate our results with the ones already available in the literature. It is found that the obtained results are in excellent agreement with the existing studies under some special cases. Our analysis reveals that the thermal relaxation parameter reduces the temperature field for the Newtonian and non-Newtonian fluid cases. It is also found that the temperature profile is decreased in the Newtonian fluid case when compared with the non-Newtonian fluid case.
13
Content available Mass transfer analysis of two-phase flow in a suspension of microorganisms
75%
Mamatha S. U. , Ramesh B. K. , Durga Prasad P. , Raju C. S. K. , Varma S. V. K.
Archives of Thermodynamics
|
2020
|
tom Vol. 41, no 1
175--192
EN
The aim of present work is to investigate the mass transfer of steady incompressible hydromagnetic fluid near the stagnation point with deferment of dust particles over a stretching surface. Most researchers tried to improve the mass transfer by inclusion of cross-diffusion or dust particles due to their vast applications in industrial processes, extrusion process, chemical processing, manufacturing of various types of liquid drinks and in various engineering treatments. To encourage the mass transport phenomena in this study we incorporated dust with microorganisms. Conservation of mass, momentum, concentration and density of microorganisms are used in relevant flow equations. The arising system of nonlinear partial differential equations is transformed into nonlinear ordinary differential equations. The numerical solutions are obtained by the Runge-Kutta based shooting technique and the local Sherwood number is computed for various values of the physical governing parameters (Lewis number, Peclet number, Eckert number). An important finding of present work is that larger values of these parameters encourage the mass transfer rate, and the motile organisms density profiles are augmented with the larger values of fluid particle interaction parameter with reference to bioconvection, bioconvection Lewis number, and dust particle concentration parameter..
14
Content available Heat and mass transfer flow of nanofluids in presence of chemical reaction with partial slip conditions
63%
Narender G. , Govardhan K. , Sreedhar-Sarma G.
Journal of Applied Mathematics and Computational Mechanics
|
2020
|
tom Vol. 19, nr 3
71-84
EN
A mathematical model is presented for analyzing the convective fluid over a stretching surface in the presence of nanoparticles. The analysis of heat and mass transfer of converted fluid with slip boundary condition is investigated. To convert the governing Partial Differential Equations (PDEs) into a system of nonlinear Ordinary Differential Equations (ODEs) we use similarity transformations. The shooting method is used to solve the system of ODEs numerically, and obtained numerical results are compared with the published results and found that both are in excellent agreement. The numerical values obtained for the velocity, temperature and concentration profiles are presented through graphs and tables. A discussion on the effects of various physical parameters and heat transfer characteristics is also included.
15
Content available Scrutinization of Joule heating and viscous dissipation on MHD flow and melting heat transfer over a stretching sheet
63%
Kumar K. G. , Gireesha B. J. , Manjunatha S.
International Journal of Applied Mechanics and Engineering
|
2018
|
tom Vol. 23, no. 2
429--443
EN
The present paper deals with an analysis of the combined effect of Joule heating and viscous dissipation on an MHD boundary layer flow and melting heat transfer of a micro polar fluid over a stretching surface. Governing equations of the problem are transformed into a set of coupled nonlinear ordinary differential equations by applying proper transformations and then they are solved numerically using the RKF-45 method. The method is verified by a comparison with the established results with limiting solution. The influence of the various interesting parameters on the flow and heat transfer is analyzed in detail through plotted graphs.
16
Content available An unsteady flow and melting heat transfer of a nanofluid over a stretching sheet embedded in a porous medium
63%
Kumar K. G. , Gireesha B. J. , Rudraswamy N. G. , Krishnamurthy M. R.
International Journal of Applied Mechanics and Engineering
|
2019
|
tom Vol. 24, no. 2
245--258
EN
An unsteady flow and melting heat transfer of a nanofluid over a stretching sheet was numerically studied by considering the effect of chemical reaction and thermal radiation. The governing non-linear partial differential equations describing the flow problem are reduced to a system of non-linear ordinary differential equations using the similarity transformations and solved numerically using the Runge–Kutta–Fehlberg fourth–fifth order method. Numerical results for concentration, temperature and velocity profiles are shown graphically and discussed for different physical parameters. Effect of pertinent parameters on momentum, temperature and concentration profiles along with local Sherwood number, local skin-friction coefficient and local Nusselt number are well tabulated and discussed.
17
Content available Analytical solution to the MHD flow of micropolar fluid over a linear stretching sheet
63%
Siddheshwar P. G.
International Journal of Applied Mechanics and Engineering
|
2015
|
tom Vol. 20, no. 2
397--406
EN
The flow due to a linear tretching sheet in a fluid with suspended particles, modeled as a micropolar fluid, is considered. All reported works on the problem use numerical methods of solution or a regular perturbation technique. An analytical solution is presented in the paper for the coupled non-linear differential equations with inhomogeneous boundary conditions.
18
Content available A new analytical procedure for solving the non-linear differential equation arising in the stretching sheet problem
63%
Siddheshwar P. G. , Mahabaleswar U. S. , Andersson H. I.
International Journal of Applied Mechanics and Engineering
|
2013
|
tom Vol. 18, no. 3
955--964
EN
The paper discusses a new analytical procedure for solving the non-linear boundary layer equation arising in a linear stretching sheet problem involving a Newtonian/non-Newtonian liquid. On using a technique akin to perturbation the problem gives rise to a system of non-linear governing differential equations that are solved exactly. An analytical expression is obtained for the stream function and velocity as a function of the stretching parameters. The Clairaut equation is obtained on consideration of consistency and its solution is shown to be that of the stretching sheet boundary layer equation. The present study throws light on the analytical solution of a class of boundary layer equations arising in the stretching sheet problem.
19
Content available Magneto-hydro dynamic flow and heat transfer of non-Newtonian power-law fluid over a non-linear stretching surface with viscous dissipation
63%
Kishan N. , Kavitha P.
International Journal of Applied Mechanics and Engineering
|
2014
|
tom 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.
20
Content available remote Radiation effects on stagnation-point flow over a stretching sheet with internal heat generation or absorption
63%
Pal D. , Malashetty M. S.
International Journal of Applied Mechanics and Engineering
|
2008
|
tom Vol. 13, no 2
427-439
EN
In this paper, the effects of radiation (Rosseland model) on the flow of an incompressible fluid over a vertical flat sheet near the stagnation point with internal heat absorption or generation is studied. The similarity variables are used to transform the problem under consideration into a boundary value problem of nonlinear coupled ordinary differential equations containing the Prandtl number and heat source/sink parameter, which are solved, numerically by using the finite-difference method with appropriate boundary conditions. Numerical results are given for various values of dimensionless parameters of the problem. A comparison of numerical results is made with the earlier published results under the limiting cases. The effects of physical parameters on temperature and the local Nusselt number are discussed in detail. The results show that increasing the internal heat generation/absorption parameter increases the thermal boundary layer thickness and similar effects are seen for increasing the radiation parameter and wall temperature.
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