STUDY OF BOUNDARY LAYER FLOW AND HEAT TRANSFER OVER AN AXISYMMETRICALLY SHRINKING SHEET WITH SUCTION
Main Article Content
Abstract
Downloads
Article Details
Open Access: This is an open-access journal. All articles published in the Journal of Global Research in Mathematical Archives(JGRMA) are made immediately and permanently available under the Creative Commons Attribution 4.0 International (CC BY 4.0) License. Authors retain the copyright of their work and grant Journal of Global Research in Mathematical Archives(JGRMA) the right of first publication. This license permits unrestricted use, distribution, adaptation, and reproduction in any medium or format, including commercial use, provided the original author(s), source, and license are properly acknowledged.
Google Scholar Indexed | DOI Enabled | OAI-PMH Compliant | Open Access Journal
References
REFERENCES
B. D. Sakiadis : Boundary-layer behavior on continuous solid surface:I.The Boundary-Layer equations for two-dimensional and asymmetric flow, AIChE J, 7 (1961) 26-28.
B. C. Sakiadis: Boundary-layer behavior on continuous solid surface:II.The Boundary-Layer on a continuous flat surface, AIChE J, 7 (1961) 221-225.
C. Y. Wang: Effect of spreading of material on the surface of a fluid - an exact solution, Int. J. Non-Linear Mech. 6 (1971) 255-262.
C. Y. Wang: Heat transfer to an underlying fluid due to the axisymmetric spreading of material on the surface, Appl. Sci. Res., 45 (1988) 367.
C. R. Lin, C. K. Chen : Hydromagnetic flow and heat transfer about a fluid underlying the axisymmetric spreading surface, Int. J. Engg. Sci., 31 (1993) 257-261.
E. I. I. Barakat : Variable viscosity effect on hydromagnetic flow and heat transfer about a fluid underlying the axisymmetric spreading surface, 169 (2004) 195-202.
P. D. Ariel : Axisymmetric flow due to a stretching sheet with partial slip. Comput. Math. Appl. 54(7-8) (2007) 1169-1183.
B. Sahoo : Effects of partial slip on axisymmetric flow of an electrically conducting viscoelastic fluid past a stretching sheet. Cent. Eur. J. Phys. (2009) DOI 10.2478/s11534-009-0105-x
V.G. Gupta and S. Gupta : The Application of Homotopy Perturbation Method for Axisymmetric Flow over a Nonlinearly Stretching Sheet Journal of Applied Mathematics and Fluid Mechanics, 3(2) (2011) 209-219.
A. Shahzad, R. Ali, M. Khan : On the Exact Solution for Axisymmetric Flow and Heat Transfer over a Nonlinear Radially Stretching Sheet, Chin. Phys. Lett. 29(8) (2012) 084705.
M. Miklavcic, C. Y. Wang : Viscous flow due to a shrinking sheet. Quart Appl. Math. 64(2) (2006) 283-290.
T. Fang, J. Zhang : Closed form exact solutions of MHD viscous flow over a shrinking sheet. Communications in Nonlinear Science and Numerical Simulation. 14(7) (2009) 2853-2857.
T. Fang, J. Zhang : Thermal boundary layer over a shrinking sheet : an analytical solution. Acta Mech. 209 (2010) 325-343.
T. Fang, J. Zhang : Viscous flow over an unsteady shrinking sheet with mass transfer, Chin. Phys. Lett., 26(1) (2009) 014703-1-4.
S. Nadeem, and A. Hussain : MHD flow of a viscous fluid on a nonlinear porous shrinking sheet with homotopy analysis method. Appl. Math. Mech. (Engl. Ed.) 30(12) (2009) 1569-1578.
C. Midya : Exact solutions of chemically reactive solute distribution in MHD boundary layer flow over a shrinking surface. Chin. Phys. Lett. 29(1) (2012) 014701-1-4.
C. Midya : Hydromagnetic boundary layer flow and heat transfer over a linearly shrinking permeable surface. Int. J. Appl. Math. Mech. 8(3) (2012) 57-68.
M. Sajid, T. Hayat : The application of homotopy analysis method for MHD viscous flow due to a shrinking sheet. Chaos, Solitons and Fractals. 39(3) (2009) 1317-1323.
Muhaimin, R. Kandasamy, I. Hashim : Effect of chemical reaction, heat and mass transfer on nonlinear boundary layer past a porous shrinking sheet in the presence of suction. Nuclear Engineering and Design. 240(5) (2010) 933-939.
N. F. M. Noor, S. A. Kechilb, I. Hashimc : Simple non-perturbative solution for MHD viscous flow due to a shrinking sheet. Communications in Nonlinear Science and Numerical Simulation. 15(2) (2010) 144-148.
F. M. Ali, R. Nazar, N. M. Arifin, and I. Pop : Unsteady flow and heat transfer past an axisymmetric permeable
shrinking sheet with radiation effect. Int. J. Numer. Method in Fluids, (2010), DOI: 10.1002/fld.2435.
J. N. Reddy, An introduction to finite element method, Tata McGraw Hill, second edition, 2003.