# MHD nonlinear flow and heat transfer over a stretching porous surface of constant heat flux

### Abstract

MHD nonlinear steady flow and heat transfer over a porous surface stretching with a power-law velocity and of constant heat flux is investigated . The governing nonlinear partial differential equations are reduced to nonlinear ordinary differential equations by using similarity transformation. As the presented solution method requires the magnetic field to vary in space in a specific manner, a special form for the variable magnetic field is chosen. Resulting equations are numerically solved by Runge-Kutta shooting method. Values of skin-friction and rate of heat transfer are obtained. The effect of magnetic field , stretching parameter, magnetic interaction parameter, suction parameter and Prandtl number over a flow fie ld and other physical quantities have been discussed in detail.

### Keywords

### References

[1] N. Afzal. Heat transfer from a stretching surface. Int. J. of Heat and Mass Transfer, 36: 1128-1131, 1993.[2] S.P. Anjali Devi, M. Thiagarajan. Steady nonlinear hydromagnetic flow and heat transfer over a stretching surface of variable temperature. Heat and Mass Transfer, 42: 671-677, 2006.

[3] W.H.H. Banks. Similarity solution of the boundary layer equations for a stretching wall. J. Mecan. Theor. Appl., 2: 375-392, 1983.

[4] H.J.H. Brouwers. The effect of blowing or suction on laminar free convective heat transfer on flat horizontal plates. Heat and Mass Transfer, 28: 341-344, 2005.

[5] P. Carragher. Boundary Layer Flow and Heat Transfer for the Stretching Plate. Chapter 4. Ph.D. Thesis, University of Dublin, 1978.

[6] T .C. Chaim. Hydromagnetic flow over a surface stretching with a power-law velocity. Int. J. Eng. Sci., 33(3): 429-435, 1995.

[7] A. Chakrabarthi, A.S. Gupta. Hydromagnetic flow and heat transfer over a stretching sheet. Quart Appl. Math. ,

37: 73-78, 1979.

[8] C.K Chen, C.K Char. Heat transfer of a continuous, stretching surface with suction blowing. J. Math. Anal. Appl., 135: 568- 580, 1988.

[9] L.J. Crane. Flow past a stretching plate. ZAMP, 21: 645- 647, 1970.

[10] B.K Dutta, P. Roy, A.S. Gupta. Temperature field in flow over a stretching sheet with uniform heat flux . Int. Comm. Heat Mass Transfer, 12(1): 89-94, 1985 .

[11] M. Kumari. MHD flow over a wedge with large blowing rates. Int. J. Engrg. Sci., 36: 299-314, 1998.

[12] B.C. Sakiadis. Boundary layer behaviour on continuous solid surface II. The boundary layer on a continuous flat surface. Am. Inst. Chem. Eng. J., 7: 221- 225, 1961.

[13] M. Thiagarajan. MHD Nonlinear Flow and Heat Transfer over a Stretching Surface of Constant Heat Flux. Chapter 4. Ph.D. Thesis, Bharathiar University, India, 2003.

**Computer Assisted Methods in Engineering and Science**, [S.l.], v. 15, n. 1, p. 15-22, aug. 2022. ISSN 2956-5839. Available at: <https://cames.ippt.pan.pl/index.php/cames/article/view/776>. Date accessed: 10 nov. 2024.