Magnetohydrodynamic natural convection flow on a sphere with uniform heat flux in presence of heat generation

A natural-convection boundary layer along a vertical complex wavy surface with uniform heat flux has been investigated. The complex surface studied combines two sinusoidal functions, a fundamental wave and its first harmonic. Using a method of transformed coordinates, the boundary-layer equations are mapped into a regular and stationary computational domain. The transformed equations can then be solved straightforwardly by any number of numerical methods designed for regular and stationary geometries. In this paper, an implicit finite-difference method is used. The results were readily obtained on a personal computer. The numerical results demonstrate that the additional harmonic substantially alters the flow field and temperature distribution near the surface. The induced velocity normal to the y axis can substantially thicken the boundary layer, implying that its growth is not due solely to the momentum and thermal diffusion normal to the y axis along a wavy surface.

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Effects of radiative heat flux and heat generation on magnetohydodynamics natural convection flow of nanofluid inside a porous triangular cavity with thermal boundary conditions

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22768 ◽

2021 ◽

Author(s):

M. Waqas Nazir ◽

Tariq Javed ◽

Nasir Ali ◽

Mubbashar Nazeer

Keyword(s):

Heat Flux ◽

Natural Convection ◽

Boundary Conditions ◽

Heat Generation ◽

Radiative Heat ◽

Radiative Heat Flux ◽

Convection Flow ◽

Natural Convection Flow ◽

Thermal Boundary Conditions

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A Comparative Study of Natural Convection Flow of Fractional Maxwell Fluid with Uniform Heat Flux and Radiation

Complexity ◽

10.1155/2021/9401655 ◽

2021 ◽

Vol 2021 ◽

pp. 1-16

Author(s):

Ruihua Tang ◽

Sadique Rehman ◽

Aamir Farooq ◽

Muhammad Kamran ◽

Muhammad Imran Qureshi ◽

...

Keyword(s):

Heat Flux ◽

Natural Convection ◽

Comparative Study ◽

Fractional Derivative ◽

Maxwell Fluid ◽

Order Derivative ◽

Convection Flow ◽

Uniform Heat Flux ◽

Natural Convection Flow ◽

Integer Order

This paper focuses on the comparative study of natural convection flow of fractional Maxwell fluid having uniform heat flux and radiation. The well-known Maxwell fluid equation with an integer-order derivative has been extended to a non-integer-order derivative, i.e., fractional derivative. The explicit expression for the temperature and velocity is acquired by utilizing the Laplace transform (LT) technique. The two fractional derivative concepts are used (Caputo and Caputo–Fabrizio derivatives) in the formulation of the problem. Utilizing the Mathcad programming, the effect of certain embedded factors and fractional parameters on temperature and velocity profile is graphically presented.

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MHD natural convection flow of Casson fluid in an annular microchannel containing porous medium with heat generation/absorption

Nonlinear Engineering ◽

10.1515/nleng-2020-0010 ◽

2020 ◽

Vol 9 (1) ◽

pp. 223-232 ◽

Cited By ~ 3

Author(s):

B.J. Gireesha ◽

S. Sindhu

Keyword(s):

Porous Medium ◽

Natural Convection ◽

Skin Friction ◽

Interaction Parameter ◽

Heat Generation ◽

Velocity Slip ◽

Casson Fluid ◽

Convection Flow ◽

Natural Convection Flow ◽

Wall Interaction

AbstractThis study has been conducted to focus on natural convection flow of Casson fluid through an annular microchannel formed by two cylinders in the presence of magnetic field. The process of heat generation/absorption is taken into consideration. Combined effects of various parameters such as porous medium, velocity slip and temperature jump are considered. Solution of the present mathematical model is obtained numerically using fourth-fifth order Runge-Kutta-Fehlberg method. The flow velocity, thermal field, skin friction and Nusselt number are scrutinized with respect to the involved parameters of interest such as fluid wall interaction parameter, rarefaction parameter, Casson parameter and Darcy number with the aid of graphs. It is established that higher values of Casson parameter increases the skin friction coefficient. Further it is obtained that rate of heat transfer diminishes as fluid wall interaction parameter increases.

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