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1

Stagnation-point flow of Williamson fluid along a stretched plate with convective thermal condition and activation energy

Salawu S. O.

International Journal of Applied Mechanics and Engineering

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2023

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Vol. 28, no. 3

101--111

EN

The implication of a stagnation-point flow together with the influence of activation energy in a Williamson fluid, which consists of tiny particles, over an expansive plate is analyzed numerically. Conditions of convective heat and mass motion with features of irregular movement and thermal-migration of particles influenced by viscous dissipation and convective heat surface condition are checked in the study. The conversion of the model equations from the initially formulated partial derivatives to ordinary ones is implemented by similarity transformations while an unconditionally stable Runge-Kutta-Fehlberg integration plus shooting technique are then used to complete the integration. Various interesting effects of the physical parameters are demonstrated graphically and explained appropriately in order to make accurate predictions. Moreover, the accuracy of the solution is verified by comparing the values of the skin friction factor with earlier reported ones in literature under limiting constraints. It is worth mentioning that the velocity profiles flatten down as the magnitude of the magnetic field factors expands but this causes a boost in the fluid’s temperature. The concentration field also appreciates with activation energy but depreciates with chemical reaction and Schmidt number.

2

Mixed convection in MHD flow and heat transfer rate near a stagnation-point on a non-linear vertical stretching sheet

Fenuga O. J., Hassan A. R., Olanrewaju P. O.

International Journal of Applied Mechanics and Engineering

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2020

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Vol. 25, no. 1

37--51

EN

This work investigates the mixed convection in a Magnetohydrodynamic (MHD) flow and heat transfer rate near a stagnation-point region over a nonlinear vertical stretching sheet. Using a similarity transformation, the governing equations are transformed into a system of ordinary differential equations which are solved numerically using the fourth order Runge-Kutta method with shooting technique. The influence of pertinent flow parameters on velocity, temperature, surface drag force and heat transfer rate are computed and analyzed. Graphical and tabular results are given to examine the nature of the problem. The heat transfer rate at the surface increases with the mixed convection.

3

Radiation effects on stagnation-point flow over a stretching sheet with internal heat generation or absorption

Pal D., Malashetty M. S.

International Journal of Applied Mechanics and Engineering

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2008

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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.

4

G-jitter induced free convection near a two-dimensional stagnation point in micropolar fluids

Sharidan S., Amin N., Pop I.

International Journal of Applied Mechanics and Engineering

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2005

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Vol. 10, no 2

311-328

EN

A numerical solution for the effect of a small but fluctuating gravitational field, characteristic of g-jitter, on the free convection boundary layer flow near the forward stagnation point of a two-dimensional symmetric body resulting from a step change in its surface temperature and immersed in a micropolar fluid is presented in this paper. Both the cases when the spin gradient on the wall is zero and non-zero are considered. The transformed non-similar boundary layer equations are solved numerically by a very efficient implicit finite-difference scheme known as the Keller-box method to investigate the effects on the skin friction and on the rate of heat transfer of variations in the forcing amplitude, a, forcing frequency, 'omega', and micropolar parameter, K. The results are given for a value of the Prandt number Pr=0.7. It has been found that these parameters affect considerably the considered flow characteristics. A comparison with earlier results for a Newtonian fluid (K=0) shows a good agreement.