Numerical solution for natural convection flow near a vertical porous plate having convective boundary condition with nonlinear thermal radiation

Heat Transfer ◽  
2021 ◽  
Author(s):  
Basant K. Jha ◽  
Gabriel Samaila
Keyword(s):  
Boundary Condition ◽  
Natural Convection ◽  
Thermal Radiation ◽  
Porous Plate ◽  
Convective Boundary Condition ◽  
Convection Flow ◽  
Nonlinear Thermal Radiation ◽  
Natural Convection Flow ◽  
Convective Boundary ◽  
Vertical Porous Plate

Numerical Investigation of Two-Phase Mixed Convection Flow of Particulate Oldroyd-B Fluid with Non-Linear Thermal Radiation and Convective Boundary Condition

2018 ◽  
Vol 388 ◽  
pp. 204-222 ◽  
Author(s):  
Bijjanal Jayanna Gireesha ◽  
Basavarajappa Mahanthesh ◽  
Koneri L. Krupalakshmi
Keyword(s):  
Boundary Condition ◽  
Mixed Convection ◽  
Thermal Radiation ◽  
Numerical Solutions ◽  
Convective Boundary Condition ◽  
Dust Particles ◽  
Convection Flow ◽  
Nonlinear Thermal Radiation ◽  
Two Phase ◽  
Convective Boundary

The present investigation addresses the mixed convection two-phase flow of dusty Oldroyd-B fluid towards a vertical stretching surface in the presence of convective boundary condition and nonlinear thermal radiation. The fluid and dust particles motion is coupled only in the course of drag and heat transfer between them. The Stokes linear drag theory is employed to model the drag force. The numerical solutions based on the Runge-Kutta-Fehlberg 45 scheme with shooting method are presented for both fluid and particle phase velocity and temperature fields. Further, numerical results are obtained for skin friction factor and local Nusselt number of prescribed values of pertinent parameters. The results are presented graphically and the physical aspects of the problem are analyzed. The obtained results are validated with existing results and found to be in good agreement. It is found that the mass concentration of the dust particle parameter plays a key role in controlling flow and thermal behaviour of non-Newtonian fluids.

NUMERICAL AND ANALYTICAL SOLUTIONS FOR NATURAL CONVECTION FLOW WITH THERMAL RADIATION AND MASS TRANSFER PAST A MOVING VERTICAL POROUS PLATE BY DQM AND HAM

2011 ◽  
Vol 08 (03) ◽  
pp. 611-631 ◽  
Author(s):  
P. TALEBIZADEH ◽  
M. A. MOGHIMI ◽  
A. KIMIAEIFAR ◽  
M. AMERI
Keyword(s):  
Boundary Layer ◽  
Mass Transfer ◽  
Natural Convection ◽  
Thermal Radiation ◽  
Differential Quadrature Method ◽  
Porous Plate ◽  
Convection Flow ◽  
Natural Convection Flow ◽  
Homotopy Analysis ◽  
Excellent Method

In this paper, the boundary-layer natural convection flow on a permeable vertical plate with thermal radiation and mass transfer is studied when the plate moves in its own plane. A uniform temperature with uniform species concentration at the plate is affected and the fluid is considered to be a gray, absorbing–emitting. A viscous flow model is presented using boundary-layer theory comprising the momentum, energy, and concentration equations, which is solved analytically by means of an excellent method called homotopy analysis method (HAM). First, a comparison between HAM results and those obtained by means of a higher-order numerical method, namely differential quadrature method (DQM), is done. Close agreement of two sets of results indicates the accuracy of the HAM. The velocity, temperature, and concentration distributions are displayed graphically, and a parametric study is performed in which the effect of various parameters on the skin friction, the local Nusselt number (Nn), and the local Sherwood number (Mu) are investigated.

MHD natural convection flow past an impulsively started infinite vertical porous plate with Newtonian heating in the presence of radiation

2016 ◽  
Vol 26 (6) ◽  
pp. 1932-1953 ◽  
Author(s):  
Marneni Narahari ◽  
M Kamran
Keyword(s):  
Magnetic Field ◽  
Natural Convection ◽  
Thermal Radiation ◽  
Transverse Magnetic Field ◽  
Porous Plate ◽  
Transverse Magnetic ◽  
Convection Flow ◽  
Newtonian Heating ◽  
Natural Convection Flow ◽  
Content Type

Purpose – The purpose of this paper is to investigate the effects of thermal radiation and viscous dissipation on steady natural convection flow of a viscous incompressible fluid along a uniformly moving infinite vertical porous plate with Newtonian heating in the presence of transverse magnetic field. The governing non-linear boundary layer equations are solved by using homotopy analysis method (HAM). The effects of various system parameters on velocity and temperature fields are discussed graphically, and the numerical values for skin friction and Nusselt number are presented in tabular form. Design/methodology/approach – The problem is formulated using the Boussinesq approximation under the effects of thermal radiation and transverse magnetic field. The resulting coupled system of non-linear differential equations is solved using HAM with appropriate boundary conditions for Newtonian heating of the plate. HAM is a powerful method which provides rapidly converging series solution for the velocity and temperature fields. The effects of Prandtl number, Grashof number, suction parameter, magnetic field parameter, radiation parameter and Eckert number on the fluid velocity, temperature, skin friction and Nusselt number have been investigated. Findings – The HAM solution has been successfully applied to find the converging series solution for velocity and temperature fields in terms of pertinent system parameters. Comparison of the exact solution results agree well with the HAM solution results in the absence of Eckert number and this indicates that the HAM solutions are accurate. It is found that the velocity and temperature profiles decreases with the increase of thermal radiation and suction parameters. An increase in the magnetic field parameter leads to a rise in the fluid temperature and fall in the fluid velocity. Research limitations/implications – The present analysis is limited to steady state laminar natural convection flow only. Unsteady natural- /mixed-convection laminar flow in the presence of thermal radiation, chemical reaction and transverse magnetic field will be investigated in a future work. Practical implications – The study provides very useful information for heat transfer engineers to understand the heat transfer rate when the moving vertical porous surface temperature is not known a prior. The present results have immediate relevance in the design of nuclear reactors where vertical moving porous plates are using as control rods. Originality/value – The present research work is relatively original and illustrates the effects of thermal radiation, viscous dissipation and transverse magnetic field on natural convection flow past a uniformly moving infinite vertical porous plate with Newtonian heating.

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