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1
Content available The influence of thermal expansion on flow past an inclined accelerated sectional plate with persistent mass diffusion
Nagarajan G., Sundar Raj M., Muthucumaraswamy R.
International Journal of Applied Mechanics and Engineering
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2022
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Vol. 27, no. 4
105--116
EN
In this article, we examined the solution of a homogeneously intensified isothermal inclined infinite plate with constant temperature. The plate is elevated to Tw, and the species accumulation is enhanced at a consistent speed. Under appropriate boundary conditions, the non-dimensional guiding formulae are remedied using the Laplace transform procedure. The effect of velocity, temperature, and concentration on various factors, including thermal and mass Grashof numbers, Schmidt numbers, and duration, is discussed. The velocity increases proportionally to the thermal and mass Grashof numbers, but decreases as the inclined angle, Schmidt numbers and time increase.
2
Content available Heat transfer in Darcy-Forchheimer flow of tangent hyperbolic fluid over an inclined plate with Joule heating
Purna Chandar Rao Darapuneni, Thiagarajan Swaminathan, Srinivasa Kumar Vajha
Journal of Applied Mathematics and Computational Mechanics
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2021
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Vol. 20, nr 3
31--40
EN
Tangent hyperbolic fluid is one of the non-Newtonian fluids in which the constitutive equation is valid for low and high shear rates and used mostly in laboratory experiments and industries. The Darcy-Forchheimer flow model is substantial in the fields where the high flow rate effect is the common phenomenon, for instance, in petroleum engineering. With these things in mind, in this article, we analysed the mixed convective dissipative Darcy-Forchheimer flow of tangent hyperbolic fluid by an inclined plate with Joule heating. Flow administering equations were altered as nonlinear ODEs and then resolved using shooting strategy. Pertinent outcomes are explained through graphs. It is discovered that fluid velocity minifies with the rise in the power law index parameter and Forchheimer number. It is detected that the thermal buoyancy parameter minimizes fluid temperature, and the magnetic field parameter ameliorates the same. What’s more, we noticed that Forchheimer number minimizes the skin friction coefficient, and the heat transfer rate is minified with the larger Eckert number. Furthermore, we have verified our results with former results for the Nusselt number and noticed a satisfactory agreement.
3
Content available Heat and mass transfer effects on MHD flow past an inclined porous plate in the presence of chemical reaction
Sandhya A., Ramana Reddy G. V., Deekshitulu V. S.R.G.
International Journal of Applied Mechanics and Engineering
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2020
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Vol. 25, no. 3
86--102
EN
The impact of heat and mass transfer effects on an MHD flow past an inclined porous plate in the presence of a chemical reaction is investigated in this study. An effort has been made to explain the Soret effect and the influence of an angle of inclination on the flow field, in the presence of the heat source, chemical reaction and thermal radiation. The momentum, energy and concentration equations are derived as coupled second order partial differential equations. The model is non-dimensionalized and shown to be controlled by a number of dimensionless parameters. The resulting dimensionless partial differential equations can be solved by using a closed analytical method. Numerical results for pertaining parameters, such as the Soret number (Sr), Grashof number (Gr) for heat and mass transfer, the Schmidt number (Sc), Prandtl number (Pr), chemical reaction parameter (Kr), permeability parameter (K), magnetic parameter (M), skin friction (τ), Nusselt number (Nu) and Sherwood number (Sh) on the velocity, temperature and concentration profiles are presented graphically and discussed qualitatively.
4
Content available On streamwise structures in boundary layer under adverse pressure gradient on inclined plate
Uruba V., Prochazka P., Skala V.
TASK Quarterly : scientific bulletin of Academic Computer Centre in Gdansk
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2018
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Vol. 22, No 3
255--267
EN
The presented study is focused on experimental investigation of a boundary layer on a flat plate in an adverse pressure gradient. The flat plate is placed in a regular flow, the pressure gradient is generated by the plate inclination. The preceding studies deal with the structure of the wake behind the plate, the presented study concentrates on the flow structureclose to the suction surface of the plate. The dynamical behavior of the flow structures is studied in details with respect to the topology in the streamwise direction. In spite of the fact that thetime-mean flow field is close to 2D, more or less constant along the span, the instantaneous structures topology is fully 3D. Rather oblique structures are detected instead of those oriented in the streamwise direction. The patterns are travelling in the streamwise direction along the plate.
5
Content available FEM simulation of triple diffusive natural convection along inclined plate in porous medium: prescribed surface heat, solute and nanoparticles flux
Goyal M., Goyal R, Bhargava R.
International Journal of Applied Mechanics and Engineering
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2017
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Vol. 22, no. 4
883–-900
EN
In this paper, triple diffusive natural convection under Darcy flow over an inclined plate embedded in a porous medium saturated with a binary base fluid containing nanoparticles and two salts is studied. The model used for the nanofluid is the one which incorporates the effects of Brownian motion and thermophoresis. In addition, the thermal energy equations include regular diffusion and cross-diffusion terms. The vertical surface has the heat, mass and nanoparticle fluxes each prescribed as a power law function of the distance along the wall. The boundary layer equations are transformed into a set of ordinary differential equations with the help of group theory transformations. A wide range of parameter values are chosen to bring out the effect of buoyancy ratio, regular Lewis number and modified Dufour parameters of both salts and nanofluid parameters with varying angle of inclinations. The effects of parameters on the velocity, temperature, solutal and nanoparticles volume fraction profiles, as well as on the important parameters of heat and mass transfer, i.e., the reduced Nusselt, regular and nanofluid Sherwood numbers, are discussed. Such problems find application in extrusion of metals, polymers and ceramics, production of plastic films, insulation of wires and liquid packaging.
6
Content available On diffusion of chemically reactive species in a convective flow past an inclined plate with variable surface temperature and variable mass diffusion
Kirubavathi J. D., Palani G.
International Journal of Applied Mechanics and Engineering
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2016
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Vol. 21, no. 4
905--922
EN
A numerical solution of a transient natural convection flow past a semi-infinite inclined plate under the combined buoyancy effects of heat and mass transfer along with chemical reaction is presented herewith. The governing boundary layer equations for the above flow problem for a first order homogeneous chemical reaction are set up and non-dimensionalised. An implicit finite difference method is employed to solve the unsteady, nonlinear, integro and coupled partial differential equation. Numerical results are presented for various parameters occurring in the problem. The unsteady velocity, temperature and concentration profiles, local and average skin friction, Nusselt number and Sherwood number are studied for both a generative and destructive reaction.
7
Content available remote Transient free convection flow of viscous dissipative fluid past a semi-infinite inclined plate
Ganesan P., Palani G.
International Journal of Applied Mechanics and Engineering
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2003
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Vol. 8, no 3
395-402
EN
An analysis is performed to study the transient free convection flow of a viscous incompressible fluid past a semi-infinite inclined plate with viscous dissipation. The dimensionless governing equations are unsteady, coupled and non-linear integro partial differential equations. An analytical method fails to give a solution. Hence an implicit finite difference scheme of Crank-Nicolson method is employed. The effect of the dissipation parameter on the velocity, temperature, skin friction and Nusselt number are studied in detail. It is observed that greater viscous dissipative heat causes a rise in the temperature irrespective of the Prandtl number.
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