Effects of Mixed Convective Flow of a Nanofluid with Internal Heat Generation, Thermal Radiation and Chemical Reaction

2015 ◽  
Vol 4 (3) ◽  
pp. 375-384 ◽  
Author(s):  
Poulomi De ◽  
Hiranmoy Mondal ◽  
Uttam Kumar Bera
2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
S. Mohammed Ibrahim ◽  
N. Bhashar Reddy

Steady laminar natural convection flow over a semi-infinite moving vertical plate with internal heat generation and convective surface boundary condition in the presence of thermal radiation, viscous dissipation, and chemical reaction is examined in this paper. In the analysis, we assumed that the left surface of the plate is in contact with a hot fluid while the cold fluid on the right surface of the plate contains a heat source that decays exponentially with the classical similarity variable. We utilized similarity variable to transform the governing nonlinear partial differential equations into a system of ordinary differential equations, which are solved numerically by applying shooting iteration technique along fourth-order Runge-Kutta method. The effects of the local Biot number, Prandtl number, buoyancy forces, the internal heat generation, the thermal radiation, Eckert number, viscous dissipation, and chemical reaction on the velocity, temperature, and concentration profiles are illustrated and interpreted in physical terms. A comparison with previously published results on the similar special cases showed an excellent agreement. Finally, numerical values of physical quantities, such as the local skin-friction coefficient, the local Nusselt number, and the local Sherwood number, are presented in tabular form.


2016 ◽  
Vol 8 (3) ◽  
pp. 341-353 ◽  
Author(s):  
M. Y. Ali ◽  
N. M. R. Zahed ◽  
M. N. Uddin ◽  
M. J. Uddin

The present paper deals with possible similarity solution of unsteady boundary layer flow over a vertical plate in the presence of internal heat generation, thermal radiation and buoyancy force. Under suitable similarity transformations, the non-linear partial differential equations are transformed into a set of ordinary differential equations. The transformed ordinary differential equations with boundary conditions are then solved numerically by using sixth order Runge-Kutta integration scheme. The effects of the governing parameters on the flow and thermal fields are investigated and shown graphically for various parameters in the velocity and the temperature distributions. The most essential case is discussed in this paper.


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