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Manufacturing Extrusion Process for Magnetic Mixed Convection of an Incompressible Viscoelastic Fluid over a Stretching Sheet


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Abstract


A manufacturing extrusion process for magnetic mixed convection of an incompressible viscoelastic fluid over a stretching sheet has been studied. A parameter, G, which is used to represent the dominance of the buoyant effect, is present in governing equations. The similar transformation, the finite-difference method used to analyze the present problem. The numerical solutions of the flow velocity distributions, temperature profiles, the wall unknown values of  f''(0) and θ’(0) for calculating the heat transfer of the similar boundary-layer flow are carried out as functions of the viscoelastic parameter E, the Prandtl number Pr, the magnetic fielded parameter M and the buoyancy parameter G. The effects of these parameters have also been discussed.
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Keywords


Finite Difference; Extrusion Process; Viscoelastic Fluid; Stretching Sheet; Magnetic Field; Mixed Convective

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References


E.J. Dulis and V.K. Chandhok, Science and Technology of Nanostructured Magnetic Materials, eds. G.C. Hadjipanayis, and G.A. Prinz (Plenum, New York, 1991) p. 599.

B.C. Sakiadis, Boundary layer behavior on continuous solid surfaces, A I Ch E J 7 (1961), pp. 26–28.

K.R. Rajagopal, T.Y. Na and A.S. Gupta, Flow of a viscoelastic fluid over a stretching sheet, Rheol Acta 23 (1984), pp. 213–215.

B.S. Dandapat, S.N. Singh and R.P. Sing, Heat transfer due to permeable stretching wall in presence of transverse magnetic field, Arch Mech 56 (2) (2004), pp. 127–141.

K. Vajravelu and D. Rollins, Hydromagnetic flow of a second grade fluid over a stretching sheet, Appl Math Comput 148 (2004), pp. 783–791.

M. Massoudi and M. Ramezan, Effect of injection or suction on the Falkner-Skan flows of second grade fluids, Int. J. Non-linear Mech., 221-227, (1989).

Hsu, C.H. Chen, C.S. and Teng, J.T., Temperature and flow fields for the flow of a second-grade fluid past a wedge, Int. J. Non-linear Mech., (1997).

K. R. Rajagopal, Boundary Layers in Non-linear Fluids, Pitman Monographs and Surveys in Pure and Applied Mathematics, 209-218, (1995).

K. Vajravelu and E. Soewono, Fourth order non-Linear systems arising in combined free and forced convection flow of a second order fluid, Int. J. Non-Linear Mech. Vol. 29, No. 6, 861-869 (1994).

V.K. Garg and K.R. Rajagopal, Stagnation point flow of a non-Newtonian fluid, Mechanics Research Communications Vol. 17, (6) ,415-421 (1990).

A.A. Raptis, Heat Transfer From Flow of an Elastico Viscous Fluid, Int. Comm. Heat Mass Transfer Vol. 16, 193-197, (1989).

M.A. Seddeek and M.S. Abdelmeguid, Effects of radiation and thermal diffusivity on heat transfer over a stretching surface with variable heat flux, Physics Letters A, Volume 348, Issues 3-6, 2 January 2006, pp. 172-179.

Mahmoud E.M. Ouaf, Exact solution of thermal radiation on MHD flow over a stretching porous sheet, Applied Mathematics and Computation, Volume 170, Issue 2, 15 November 2005, pp. 1117-1125.

Sujit Kumar Khan, Heat transfer in a viscoelastic fluid flow over a stretching surface with heat source/sink, suction/blowing and radiation, International Journal of Heat and Mass Transfer, In Press, Corrected Proof, Available online 14 October 2005.

P.G. Siddheshwar and U.S. Mahabaleswar, Effects of radiation and heat source on MHD flow of a viscoelastic liquid and heat transfer over a stretching sheet, International Journal of Non-Linear Mechanics, Volume 40, Issue 6, July 2005, pp. 807-820.

P. S. Datti, K. V. Prasad, M. Subhas Abel and Ambuja Joshi, MHD visco-elastic fluid flow over a non-isothermal stretching sheet, International Journal of Engineering Science, Volume 42, Issues 8-9, May 2004, pp. 935-946.

Sanjayanand, Emmanuel, Khan, Sujit Kumar, On heat and mass transfer in a viscoelastic boundary layer flow over an exponentially stretching sheet, International Journal of Thermal Sciences Volume: 45, Issue: 8, August, 2006, pp. 819-828.

Cortell, Rafael, MHD flow and mass transfer of an electrically conducting fluid of second grade in a porous medium over a stretching sheet with chemically reactive species, Chemical Engineering & Processing Volume: 46, Issue: 8, August, 2007, pp. 721-728.

Seddeek, M.A., Heat and mass transfer on a stretching sheet with a magnetic field in a visco-elastic fluid flow through a porous medium with heat source or sink, Computational Materials Science Volume: 38, Issue: 4, February, 2007, pp. 781-787.

R. S. Rivlin and J. L. Ericksen, Stress deformation relation for isotropic materials, J. Rat. Mech. Analysis, 323-425, (1955).

H. Markovitz and B.D. Coleman, Advances in Applied Mechanics, Vol.8. Academic Press, New York (1964).

A. Acrivos, A theoretical analysis of laminar natural convection heat transfer to non-Newtonian fluids. Am. Inst. Chem. Eng. J., 584-590 (1960).

D.W. Beard and K. Walters, Elastico viscous boundary layer flows, Proc. Camb. Phil. Soc., 667-674 (1964).

T. Cebeci and P. Bradshaw, Physical and Computational Aspects of Convective Heat Transfer, Springer-Verlag, (1984).

K. Vajravelu, Convection Heat Transfer at a Stretching Sheet with Suction and Blowing, J. of Mathematical Analysis and Application, 188, 1002-1011(1994).

Vajravelu. K, Viscous flow over a nonlinearly stretching sheet, Applied Mathematics and Computation, Volume: 124, Issue: 3, December 15, 2001, pp. 281-288.

Vajravelu. K, Rollins. D., Hydromagnetic flow of a second grade fluid over a stretching sheet, Applied Mathematics and Computation, Volume: 148, Issue: 3, January 30, 2004, pp. 783-791.

Chapra and Canale, Numerical Methods for Engineers, McGRAW-HILL, 2ed, 1990.


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