Three-dimensional stretched flow via convective boundary condition and heat generation/absorption

2014 ◽  
Vol 24 (2) ◽  
pp. 342-358 ◽  
Author(s):  
Tasawar Hayat ◽  
Sabir Ali Shehzad ◽  
Muhammad Qasim ◽  
Saleem Asghar
Keyword(s):  
Boundary Condition ◽  
Heat Generation ◽  
Three Dimensional ◽  
Convective Boundary Condition ◽  
Convective Boundary

Analytical and Numerical Study on Cross Diffusion Effects on Magneto-Convection of a Chemically Reacting Fluid with Suction/Injection and Convective Boundary Condition

2020 ◽  
Vol 401 ◽  
pp. 63-78
Author(s):  
Sheniyappan Eswaramoorthi ◽  
Marimuthu Bhuvaneswari ◽  
S. Sivasankaran ◽  
Oluwole Daniel Makinde
Keyword(s):  
Boundary Condition ◽  
Heat Generation ◽  
Numerical Study ◽  
Fluid Velocity ◽  
Convective Boundary Condition ◽  
Convective Boundary ◽  
Soret And Dufour Effects ◽  
Cross Diffusion ◽  
Similarity Transformations ◽  
Fourth Order Method

The purpose of this paper is to investigate the Soret and Dufour effects on unsteady mixed convective boundary layer flow of a viscous fluid over a stretching surface in a porous medium in the presence of magnetic field with heat generation/absorption, chemical reaction, suction/injection and convective boundary condition. The governing time-dependent partial differential equations are transformed into non-linear ordinarydifferential equations using similarity transformations. These equations subject to the appropriate boundary conditions are solved analytically by homotopy analysis method (HAM) and numerically by Runge-Kutta fourth order method and shooting technique.The numerical solution is compared with analytical solution. The influence of the different parameters on velocity, temperature and concentration profiles are discussed in graphical as well as in tabular form. It is observed that the fluid velocity and temperature increase on increasing the buoyancy ratio parameter and heat generation/absorption parameter. Also found that the surface heat and mass transfer rates increase on increasingthe suction/injection and heat generation/absorption parameters.

Numerical simulation of the stagnation point flow past a permeable stretching/shrinking sheet with convective boundary condition and heat generation

2016 ◽  
Vol 26 (1) ◽  
pp. 348-364 ◽  
Author(s):  
Alin V. Rosca ◽  
Natalia C. Rosca ◽  
Ioan Pop
Keyword(s):  
Boundary Condition ◽  
Stagnation Point ◽  
Heat Generation ◽  
Energy Equation ◽  
Convective Boundary Condition ◽  
Stagnation Point Flow ◽  
Lower Branch ◽  
Convective Boundary ◽  
Content Type ◽  
Branch Solution

Purpose – The purpose of this paper is the stagnation-point flow driven by a permeable stretching/shrinking surface with convective boundary condition and heat generation. Design/methodology/approach – It is known that similarity solutions of the energy equation are possible for the boundary conditions of constant surface temperature and constant heat flux. However, for the present case it is demonstrated that a similarity solution is possible if the convective heat transfer associated with the hot fluid on the lower surface of the plate is constant. Findings – The governing boundary layer equations are transformed to self-similar nonlinear ordinary differential equations using similarity transformations. Numerical results of the resulting equations are obtained using the function bvp4c from Matlab for different values of the governing parameters. In addition an analytical solution has been obtained for the energy equation when heat generation is absent. The streamlines for the upper branch solution show that the pattern is almost similar to the normal stagnation-point flow, but because of the existence of suction and shrinking effect, the flow seems like suck to the permeable wall. Originality/value – Dual solutions are found for negative values of the moving parameter. A stability analysis has been also performed to show that the first upper branch solutions are stable and physically realizable, while the lower branch solutions are not stable and, therefore, not physically possible. The streamlines for the lower branch solution are also graphically shown.

Numerical Solution of the Three-Dimensional Diffusion Equation in Solids with Arbitrary Geometry for the Convective Boundary Condition: Application in Drying

2013 ◽  
Vol 334-335 ◽  
pp. 149-154 ◽  
Author(s):  
V.S.O. Farias ◽  
Wilton Pereira Silva ◽  
C.M.D.P. Silva e Silva ◽  
L.D. Silva ◽  
F.J.A. Gama ◽  
...  
Keyword(s):  
Boundary Condition ◽  
Diffusion Equation ◽  
Numerical Solution ◽  
Numerical Solutions ◽  
Three Dimensional ◽  
Convective Boundary Condition ◽  
Finite Cylinder ◽  
Transport Parameters ◽  
Time Step ◽  
Convective Boundary

In this work, a numerical solution for the diffusion equation applied to solids with arbitrary shape considering convective boundary condition is presented. To this end, the diffusion equation, written in generalized coordinates, was discretized by the finite-volume method with a fully implicit formulation. The transport parameters and the dimensions of the solids are considered constant during all process. For each time step, the system of equations obtained for a given non-orthogonal structured mesh was solved by the Gauss-Seidel method. One computational code was developed in FORTRAN, using the CFV 6.6.0 Studio, in a Windows platform. The proposed solution was validated using analytical and numerical solutions of the diffusion equation for different geometries (parallelepiped and finite cylinder). The analysis and comparison of the results showed that the proposed solution provides correct results for the cases investigated. In order to verify the potential of the proposed numerical solution, we used experimental data of the drying of ceramic roof tiles for the following temperature: T = 55.6 °C. The analysis of the results and the statistical indicators enables to affirm that the developed numerical solution satisfactorily describes the drying processes in this temperature for the convective boundary condition.

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