AUTHORS: Rita Choudhury, Bibhash Deka
Download as PDF
ABSTRACT: An investigation is made on the temperature distribution within the thermal boundary layer region due to the flow of a second-grade fluid around a heated circular cylinder, maintained at a constant temperature higher than that of the fluid at infinity in presence of magnetic field applied transversely to the direction of the main flow. The problem has been solved by the application of steepest descent method used by Meksyn. The impact of various pertinent parameters on flow characteristics have been discussed through graphical illustrations. Newtonian results are found to emerge as limiting cases of the present analysis.
KEYWORDS: Visco-elastic, Boundary layer, MHD, Circular Cylinder, Heat transfer
REFERENCES:
[1] Dennis, S. C. R. and Chang, G., Numerical Solutions for Steady Flow Past a Circular Cylinder at Reynolds Numbers up to 100, J. Fluid Mech., vol. 42, 1970, pp. 471–489.
[2] Grove, A. S., Shair, F.H., Petersen, E.E. and Acrivos, A., An Experimental Investigation of the Steady Separated Flow past a Circular Cylinder , J. Fluid Mech., vol. 19, 1964, pp. 60–80.
[3] Fornberg, B., A Numerical Study of Steady Viscous Flow past a Circular Cylinder, J. Fluid Mech., vol. 98, 1980, pp. 819–855.
[4] Takami, H. and Keller, H.B., Steady twodimensional viscous flow of an incompressible fluid past a circular cylinder, Phys. Fluids Suppl., vol.12,1969, pp. 1151–1156.
[5] Thoman, D.C. and Szewczyk, A. A., Timedependent viscous flow over a circular cylinder. Phys. Fluids Suppl., vol. 12, 1969, pp. 1176–1186.
[6] Kawaguti, M., Numerical solution of the Navier–Stokes equations for the flow around a circular cylinder at Reynolds number 40, J. Phys. Soc. Jpn, vol.8, 1953, pp. 747–757.
[7] Hamielec, A.E. and Raal, J.D., “Numerical studies of viscous flow around circular cylinders”, Phys. Fluids, vol. 12, 1969, pp. 11–17.
[8] Gschwendter, M.A., The Eckert number phenomena: Experimental investigation on the rotating cylinder, Heat and Mass transfer, vol. 40, 2004, pp. 551-559.
[9] Sen, S., Mittal, S. and Biswas, G., Steady separated flow past a circular cylinder at low Reynolds numbers, J. Fluid Mech., vol.620, 2009, pp.89-119.
[10] Srivastava, A.C., Thermal boundary layer in second-order fluids, Archwm. Mech. Stowow, vol.19, 1967, pp.203-210.
[11] Bhatnagar, R.K. and Palekar, M.G., The thermal boundary layer on a sphere rotating in an infinitely extending non-Newtonian fluid, Rhcol. Acta.,vol. 11, 1972, pp. 253-257.
[12] Srivastava, A.C. and Maiti, M.K., Flow of a second-order fluid past a symmetrical cylinder, Phys. Fluids, vol. 9, 1966, pp. 462-465.
[13] Srivastava, A.C. and Saroa, M.S., Phenomenon of separation in second-order fluids, Int. J. nonlinear Mech., vol. 6, 1971, pp. 607-614.
[14] Agarwal, R.S. and Bhatia, S.P.S., Heat transfer in second-order fluid with suction and constant heat sources, Int. J. Phys., vol.47, 1973, pp. 423-431.
[15] Srivastava, A.C. and Saroa, M.S., Heat transfer in a second-order fluid for flow around a circular cylinder, Int. J. non-linear Mech., vol. 13, 1978, pp. 243-248.
[16] Hu, H.H. and Joseph, D.D., Numerical simulation of visco-elastic flow past a cylinder, J. non- Newtonian Fluid Mech., vol. 37, 1990, pp.347-377.
[17] Chhabra, R.P., Soares, A.A. and Ferreira, J.M., Steady non–Newtonian flow past a circular cylinder: a numerical study, Acta Mech., vol.172, 2004, pp. 1- 6.
[18] Meksyn, D., New Method in Laminar Boundary layer theory, Pergamon Press, 1961.
[19] Schlichting, H. , Boundary layer theory, McGraw Hill, New York, 1968.
[20] Coleman, B.D. and Noll, W., An application theorem for functional with applications in continuum mechanics, Archs Ration Mech. Analysis, vol.6,1960,pp.350-360.
