Stagnation Point Flow and Convection in a Nanofluid Saturated Porous Medium with Convective Boundary Condition and Chemical Reaction

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.

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Heat and Mass Transfer Flow Over a Vertical Cone Through Nanofluid Saturated Porous Medium Under Convective Boundary Condition Suction/Injection

Journal of Nanofluids ◽

10.1166/jon.2017.1349 ◽

2017 ◽

Vol 6 (3) ◽

pp. 478-486 ◽

Cited By ~ 11

Author(s):

P. Sreedevi ◽

P. Sudarsana Reddy ◽

K. V. S. N. Rao ◽

AliJ. Chamkha

Keyword(s):

Mass Transfer ◽

Boundary Condition ◽

Porous Medium ◽

Heat And Mass Transfer ◽

Saturated Porous Medium ◽

Convective Boundary Condition ◽

Vertical Cone ◽

Convective Boundary ◽

Transfer Flow

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Chemical reaction, radiation and slip effects on MHD mixed convection stagnation-point flow in a porous medium with convective boundary condition

International Journal of Numerical Methods for Heat &amp Fluid Flow ◽

10.1108/hff-02-2016-0044 ◽

2017 ◽

Vol 27 (2) ◽

pp. 454-470 ◽

Cited By ~ 22

Author(s):

S. Sivasankaran ◽

H. Niranjan ◽

M. Bhuvaneswari

Keyword(s):

Porous Medium ◽

Stagnation Point ◽

Chemical Reaction ◽

Heat Generation ◽

Convective Boundary Condition ◽

Convective Boundary ◽

Content Type ◽

Coupled Equations ◽

Manufacturing Engineering ◽

Layer Flow

Purpose The purpose of this paper is to investigate the Newtonian heating and slip effect on mixed convective flow near a stagnation point in a porous medium with thermal radiation in the presence of magnetohydrodynamic (MHD), heat generation/absorption and chemical reaction. Design/methodology/approach The governing nonlinear coupled equations are converted into ordinary differential equations by similarity transformation. These equations are solved numerically using a Runge–Kutta–Fehlberg method with shooting technique and analytically using the homotopy analysis method (HAM). Findings The effects of different parameters on the fluid flow and heat transfer are investigated. It is found that the velocity and temperature profiles increase on an increase in the Biot number. The velocity and concentration profiles increase on decreasing the chemical reaction parameter. Practical implications This paper is helpful to the engineers and scientists in the field of thermal and manufacturing engineering. Originality/value The two-dimensional boundary layer flow over a vertical plate with slip and convective boundary conditions near the stagnation-point is analysed in the presence of magnetic field, radiation and heat generation/absorption. This paper is helpful to the engineers and scientists in the field of thermal and manufacturing engineering.

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