Steady laminar convective flow with variable properties due to a porous rotating disk

Maleque, Kh. Abdul; Sattar, Md. Abdus

Please use this identifier to cite or link to this item: http://dspace.aiub.edu:8080/jspui/handle/123456789/386

Title:	Steady laminar convective flow with variable properties due to a porous rotating disk
Authors:	Maleque, Kh. Abdul Sattar, Md. Abdus
Keywords:	discs (structures), convection, flow instability, laminar flow, rotational flow, flow through porous media, viscosity, thermal conductivity, nonlinear differential equations, partial differential equations, Runge-Kutta methods
Issue Date:	18-Jul-2005
Publisher:	ASME J. Heat Transfer
Citation:	49
Series/Report no.:	;https://doi.org/10.1115/1.2098860
Abstract:	The present paper investigates the effects of variable properties (density (ρ)⁠, viscosity (μ)⁠, and thermal conductivity (κ)⁠) on steady laminar flow and heat transfer for a viscous fluid due to an impulsively started rotating porous infinite disk. These properties ρ⁠, μ and κ are taken to be the functions of temperature. The system of axisymmetric nonlinear partial differential equations governing the steady flow and heat transfer are written in cylindrical polar coordinates and are reduced to nonlinear ordinary differential equations by introducing suitable similarity parameters. The resulting steady equations are solved numerically by using Runge-Kutta and Shooting methods, and the effects of the relative temperature difference and suction/injection parameters are examined.
Description:	TECHNICAL BRIEFS Steady Laminar Convective Flow with Variable Properties Due to a Porous Rotating Disk Kh. Abdul Maleque, Md. Abdus Sattar Crossmark: Check for Updates Author and Article Information J. Heat Transfer. Dec 2005, 127(12): 1406-1409 (4 pages) https://doi.org/10.1115/1.2098860 Published Online: July 18, 2005 Article history Share Icon Share Cite Icon Cite Permissions The present paper investigates the effects of variable properties (density (ρ)⁠, viscosity (μ)⁠, and thermal conductivity (κ)⁠) on steady laminar flow and heat transfer for a viscous fluid due to an impulsively started rotating porous infinite disk. These properties ρ⁠, μ and κ are taken to be the functions of temperature. The system of axisymmetric nonlinear partial differential equations governing the steady flow and heat transfer are written in cylindrical polar coordinates and are reduced to nonlinear ordinary differential equations by introducing suitable similarity parameters. The resulting steady equations are solved numerically by using Runge-Kutta and Shooting methods, and the effects of the relative temperature difference and suction/injection parameters are examined. Issue Section:Technical Briefs Keywords:discs (structures), convection, flow instability, laminar flow, rotational flow, flow through porous media, viscosity, thermal conductivity, nonlinear differential equations, partial differential equations, Runge-Kutta methods Topics:Disks, Flow (Dynamics), Fluids, Laminar flow, Rotating disks, Suction, Temperature, Viscosity, Thermal conductivity, Heat transfer, Partial differential equations, Density 1. Herrero, J., Humphrey, J. A. C. , and Giralt, F., 1994, “Comparative Analysis of Coupled Flow and Heat Transfer between Co-rotating Discs in Rotating and Fixed Cylindrical Enclosures,” ASME J. Heat Transfer 0022-1481, 300, pp. 111–121. 2. Owen, J. M. , and Rogers, R. H. , 1989, Flow and Heat Transfer in Rotating Disc System, Rotor-stator Systems Vol. 1 (Research Studies, Taunton, UK and Wiley, New York). 3. Schlichting, H., 1968, Boundary Layer Theory, 6th ed. (McGraw Hill, New York), pp. 93–98. 4. Cochran, W. G. , 1934, “The Flow due to a Rotating Disc,” Proc. Cambridge Philos. Soc. 0068-6735, 40, pp. 465–475. 5. Benton, E. R. , 1966, “On the Flow due to a Rotating Disc,” J. Fluid Mech. 0022-1120, 24, pp. 781–800. Crossref 6. Roger, M. G. , and Lance, G. N. , 1960, “The Rotationally Symmetric Flow of a Viscous Fluid in Presence of Infinite Rotating Disc,” J. Fluid Mech. 0022-1120, 7, pp. 617–631. Crossref 7. Stuart, J. T. , 1954, “On the Effect of Uniform Suction on the Steady Flow due to a Rotating Disc,” Q. J. Mech. Appl. Math. 0033-5614, 7, pp. 446–457. Crossref 8. Ockendon, H., 1972, “An Asymptotic Solution for Steady Flow Above an Infinite Rotating Disc with Suction,” Q. J. Mech. Appl. Math. 0033-5614, 25, pp. 291–301. Crossref 9. Kuiken, H. K. , 1971, “The Effect of Normal Blowing on the Flow Near a Rotating Disk of Infinite Extent,” J. Fluid Mech. 0022-1120, 47, pp. 789–798. Crossref 10. Kelson, N., and Desseaux, A., 2000, “Note on Porous Rotating Disk Flow,” ANZIAM J., 42(E), pp. C847–C855. 11. Herwig, H., 1985, “The Effect of Variable Properties on Momentum and Heat Transfer in a Tube with Constant Heat Flux Across the Wall,” Int. J. Heat Mass Transfer 0017-9310, 28, pp. 424–441. 12. Herwig, H., and Wickern, G., 1986, “The Effect of Variable Properties on Laminar Boundary Layer Flow,” Warme und Stoffubertragung, 20, pp. 47–57. Crossref 13. Herwig, H., and Klemp, K., 1988, “Variable Property Effects of Fully Developed Laminar Flow in Concentric Annuli,” ASME J. Heat Transfer 0022-1481, 110, pp. 314–320. Crossref 14. Gokoglu, S. A. , and Rosner, D. E. , 1984, “Correlation of Thermophoretically Modified Small Particle Diffusional Deposition Rates in Forced Convection Systems with Variable Properties,” Int. J. Heat Fluid Flow 0142-727X, 6, pp. 37–41. 15. Jayaraj, S., 1995, “Thermophoresis in Laminar Flow Over Cold Inclined Plates with Variable Properties,” Heat Mass Transfer 0947-7411, 40, pp. 167–174. 16. Nachtsheim, P. R. , and Swigert, P., 1965, “Satisfaction of Asymptotic Boundary Conditions in Numerical Solution of System of Nonlinear of Boundary Layer Type,” NASA TN-D3004.
URI:	http://dspace.aiub.edu:8080/jspui/handle/123456789/386
ISSN:	ISSN 0022-1481 EISSN 1528-8943
Appears in Collections:	Publication: Journal

Files in This Item:

File	Description	Size	Format
TECHNICAL BRIEFS.docx		36.39 kB	Microsoft Word XML	View/Open

Show full item record

AIUB DSpace

Welcome to the Institutional Repository of American International University-Bangladesh. We preserve and enable easy and open access to all types of digital content including text, images, moving images, mpegs and data sets.