Laminar Convective Boundary Layer Slip Flow over a Flat Plate using Homotopy Analysis Method

被引：56

作者：

Daniel Y.S. ^{[1
]}

机构：

[1] Department of Mathematical Science, Faculty of Science, Kaduna State University, Kaduna

来源：

Journal of The Institution of Engineers (India): Series E | 2016年 / 97卷 / 2期

关键词：

Convective boundary condition; Flat plate; Homotopy analysis method; Slip boundary condition;

D O I：

10.1007/s40034-016-0084-6

中图分类号：

学科分类号：

摘要：

In the present study, the influence of velocity slip and suction at the boundary on the steady laminar convective boundary layer flow over a flat plate with convective boundary condition is analyzed. Similarity transformation is used to transform the boundary layer equations which are coupled with partial differential equations into system of ordinary differential equations, which are then solved semi-analytically by homotopy analysis method. The results obtained are presented for several values of the physical governing parameter and comparison with the results published in literature are in perfect agreement. Increase in the slip parameter increases the velocity to a point that the momentum boundary layer becomes thinner. The convective parameter increases as the plate surface temperature increases. The suction on the viscous incompressible fluid suppresses the velocity field and Prandtl number increases by decreasing the temperature and the thermal boundary layer thickness as a result of increase in fluid viscosity. © 2016, The Institution of Engineers (India).

引用

页码：115 / 121

页数：6

共 23 条

[1]

Gad-el-Hak M., The MEMS handbook, (2001)

[2]

Yazdi M.H., Abdullah S., Hashim I., Sopian K., Slip MHD liquid flow and heat transfer over non-linear permeable stretching surface with chemical reaction, Int. J. Heat Mass Transf, 54, 15, pp. 3214-3225, (2011)

[3]

Das K., Slip effects on MHD mixed convection stagnation point flow of a micropolar fluid towards a shrinking vertical sheet, Comput. Math Appl, 63, 1, pp. 255-267, (2012)

[4]

Mukhopadhyay S., Gorla R.S.R., Effects of partial slip on boundary layer flow past a permeable exponential stretching sheet in presence of thermal radiation, Heat Mass Transf, 48, 10, pp. 1773-1781, (2012)

[5]

Rashidi M.M., Erfani E., Analytical method for solving steady MHD convective and slip flow due to a rotating disk with viscous dissipation and Ohmic heating, Eng. Comput, 29, 6, pp. 562-579, (2012)

[6]

Zheng L., Zhang C., Zhang X., Zhang J., Flow and radiation heat transfer of a nanofluid over a stretching sheet with velocity slip and temperature jump in porous medium, J. Franklin Inst, 350, 5, pp. 990-1007, (2013)

[7]

Bhattacharyya K., Mukhopadhyay S., Layek G.C., MHD boundary layer slip flow and heat transfer over a flat plate, Chin. Phys. Lett, 28, 2, (2011)

[8]

Aziz A., Hydrodynamic and thermal slip flow boundary layers over a flat plate with constant heat flux boundary condition, Commun. Nonlinear Sci. Numer. Simul, 15, 3, pp. 573-580, (2010)

[9]

Bhattacharyya K., Mukhopadhyay S., Layek G.C., Similarity solution of mixed convective boundary layer slip flow over a vertical plate, Ain Shams Eng. J, 4, 2, pp. 299-305, (2013)

[10]

Aziz A., Siddique J.I., Aziz T., Steady boundary layer slip flow along with heat and mass transfer over a flat porous plate embedded in a porous medium, PLoS ONE, 9, 12, (2014)

← 1 2 3 →