scholarly journals The Effect of Internal Heat Generation of a Reactive Hydromagnetic (MHD) Fluid Flow through a Vertical Plate

2019 ◽  
Vol 1 ◽  
pp. 200-213
Author(s):  
L N Ikpakyegh ◽  
M M Shio ◽  
G T Okedayo
Keyword(s):  
Fluid Flow ◽  
Heat Generation ◽  
Vertical Plate ◽  
Computer Software ◽  
Internal Heat ◽  
Internal Heat Generation ◽  
Temperature Fields ◽  
Electrically Conducting ◽  
Electrically Conducting Fluid ◽  
Flow Through

In this study, we discussed the flow of an electrically conducting fluid with internal heat generation over a vertical plate on a reactive MHD fluid. We obtained the semi analytical solutions of the dimensionless equations governing the fluid flow using the method of weighted residual by the collocation method. The parameters with their effect on velocity and temperature fields are discussed graphically using Mapple 17 computer software. We showed that the internal heat generation, magnetic field intensityand the reactive rate have significant effects on the velocity profiles and temperature distributions.

Numerical Treatment of the MHD Convective Heat and Mass Transfer in an Electrically Conducting Fluid over an Infinite Solid Surface in Presence of the Internal Heat Generation

2003 ◽  
Vol 58 (11) ◽  
pp. 601-611 ◽  
Author(s):  
N. T. Eldabe ◽  
A. G. El-Sakka ◽  
Ashraf Fouad
Keyword(s):  
Mass Transfer ◽  
Heat Generation ◽  
Solid Surface ◽  
Numerical Solutions ◽  
Internal Heat ◽  
Internal Heat Generation ◽  
Conducting Fluid ◽  
Electrically Conducting ◽  
Linear Partial Differential Equations ◽  
Electrically Conducting Fluid

Numerical solutions of a set of non-linear partial differential equations are investigated. We obtained the velocity distribution of a conducting fluid flowing over an infinite solid surface in the presence of an uniform magnetic field and internal heat generation. The temperature and concentration distributions of the fluid are studied as well as the skin-friction, rate of mass transfer and local wall heat flux. The effect of the parameters of the problem on these distributions is illustrated graphically.

scholarly journals MHD flow of Boungiorno model nanofluid over a vertical plate with internal heat generation/absorption

2016 ◽  
Vol 5 (3) ◽  
pp. 211-222 ◽  
Author(s):  
B. Ganga ◽  
S. Mohamed Yusuff Ansari ◽  
N. Vishnu Ganesh ◽  
A.K. Abdul Hakeem
Keyword(s):  
Heat Generation ◽  
Vertical Plate ◽  
Internal Heat ◽  
Mhd Flow ◽  
Internal Heat Generation

Mixed Convection From a Convectively Heated Vertical Plate to a Fluid With Internal Heat Generation

2011 ◽  
Vol 133 (12) ◽  
Author(s):  
O. D. Makinde ◽  
A. Aziz
Keyword(s):  
Mixed Convection ◽  
Heat Generation ◽  
Vertical Plate ◽  
Internal Heat ◽  
Internal Heat Generation ◽  
Local Similarity ◽  
Flowing Fluid ◽  
Cold Fluid ◽  
Special Cases ◽  
The Right

A numerical approach has been adopted to study steady mixed convection from the right face of a vertical plate of finite thickness. Cold fluid flowing over the right face of the plate contains a heat generation that decays exponentially with a dimensionless distance from the wall. The left face of the plate is in contact with a hot flowing fluid. The heating process on that side is characterized by a convective boundary condition that takes into account the conduction resistance of the plate as well as a possible contact resistance between the hot fluid and the left face of the plate. Using a pseudo similarity approach, the continuity, momentum, and energy equations for mixed convective flow over the right face of the plate are transformed into a set of coupled ordinary differential equations. It is found that for a true similarity solution, the convective heat transfer coefficient associated with the hot fluid must be proportional to x−1/2, and both the thermal expansion coefficient and the internal heat generation rate for the cold fluid must be proportional to x−1, where x is the upward distance along the plate. The equations give local similarity solutions. The effects of local Grashof number (defined to represent a mixed convection parameter), Prandtl number, Biot number, and the internal heat generation parameter on the velocity and temperature profiles are illustrated and interpreted in physical terms. The present results agree closely with the existing results for the special cases of the problem. This close agreement lends support to the validity of the present analysis and the accuracy of the numerical computations. The paper also contains a table in which the data for the local skin friction and local Nusselt number are provided for various combination values of the parameters that govern the momentum and energy transport in the mixed boundary layer.

scholarly journals Similarity Solutions for an Internal Heat Generation, Thermal Radiation and Free Convection Unsteady Boundary Layer Flow over a Vertical Plate

2016 ◽  
Vol 8 (3) ◽  
pp. 341-353 ◽  
Author(s):  
M. Y. Ali ◽  
N. M. R. Zahed ◽  
M. N. Uddin ◽  
M. J. Uddin
Keyword(s):  
Boundary Layer ◽  
Differential Equations ◽  
Thermal Radiation ◽  
Heat Generation ◽  
Boundary Layer Flow ◽  
Vertical Plate ◽  
Internal Heat ◽  
Internal Heat Generation ◽  
Unsteady Boundary Layer ◽  
Layer Flow

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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