Unsteady free convection heat and mass transfer in a Walters-B viscoelastic flow past a semi-infinite vertical plate: A numerical study

Thermal Science

Volumn 15, Issue SUPPL.2, 2011, Pages 291-305

  Prasad, Vallampati R ^a   vasu, Buddakkagari ^a   Beg, Osman Anwar ^b   Parshad, Rana ^c  

^a MADANAPALLE INSTITUTE OF TECHNOLOGY AND SCIENCE   (India)

^b SHEFFIELD HALLAM UNIVERSITY   (United Kingdom)

^c CLARKSON UNIVERSITY   (United States)

Author keywords

Finite difference method; Mass transfer; Schmidt number; Semi infinite vertical plate; Unsteady viscoelastic flow; Walters B short memory mode

Indexed keywords

BOUNDARY LAYERS; MASS TRANSFER; NATURAL CONVECTION; PRANDTL NUMBER; VISCOELASTICITY;

FINITE-DIFFERENCE METHODS; MEMORY MODES; SCHMIDT NUMBERS; SEMI-INFINITE VERTICAL PLATE; SHORT MEMORY; UNSTEADY FREE CONVECTION; UNSTEADY VISCOELASTIC FLOW; VERTICAL PLATE; VISCOELASTIC FLOWS; WALTER-B SHORT-MEMORY MODE;

FINITE DIFFERENCE METHOD;

EID: 84869842342     PISSN: 03549836     EISSN: None     Source Type: Journal    
DOI: 10.2298/TSCI101102002P     Document Type: Article

References (43)

1. Thibault, F., Tanguy, P. A., Power-Draw Analysis of a Coaxial Mixer with Newtonian and Non-Newtonian Fluids in the Laminar Regime, Chemical Engineering Science, 57 (2002), 18, pp. 3861-3872
2. Goerke, A. R., Leung, J., Wickramasinghe, S. R., Mass and Momentum Transfer in Blood Oxygenators, Chemical Engineering Science, 57 (2002), 11, pp. 2035-2046
3. Wang, W., Chen, G., Heat and Mass Transfer Model of Dielectric-Material-Assisted Microwave Freeze-Drying of Skim Milk with Hygroscopic Effect, Chemical Engineering Science, 60 (2005), 23, pp. 6542-6550
4. Vrentas, J. S., Vrentas, C. M., Axial Moment Analyses of Convective Heat and Mass Transfer Processes, Chemical Engineering Science, 51 (1996), 6, pp. 921-929
5. Ayazi Shamlou, P., Edwards, M. F., Heat Transfer to Viscous Newtonian and Non-Newtonian Fluids for Helical Ribbon Mixers, Chemical Engineering Science, 41 (1986), 8, pp. 1957-1967
6. Jarzebski, A. B., Malinowski, J. J., Transient Mass and Heat Transfer from Drops or Bubbles in Slow Non-Newtonian Flows, Chemical Engineering Science, 41 (1986), 10, pp. 2575-2578
7. Elperin, T., Fominykh, A., Effect of Solute Concentration Level on the Rate of Coupled Mass and Heat Transfer During Solid Sphere Dissolution in a Uniform Fluid Flow, Chemical Engineering Science, 56 (2001), 10, pp. 3065-3074
8. Waslo, S., Gal-or, B., Boundary Layer Theory for Mass and Heat Transfer in Clouds of Moving Drops, Bubbles or Solid Particles, Chemical Engineering Science, 26 (1971), 6, pp. 829-838
9. Prakash Bharti, R., Chhabra, R. P., Eswaran, V., Effect of Blockage on Heat Transfer from a Cylinder to Power Law Liquids, Chemical Engineering Science, 62 (2007), 17, pp. 4729-4741
10. Mahalingam, R., Chan, S. F., Coulson, J. M., Laminar Pseudoplastic Flow Heat Transfer with Prescribed Wall Heat Flux, Chemical Engineering J., 9 (1975), 2, pp. 161-166
11. Kleinstreuer, C., Wang, T.-Y., Mixed Convection Heat and Surface Mass Transfer between Power-Law Fluids and Rotating Permeable Bodies, Chemical Engineering Science, 44 (1989), 12, pp. 2987-2994
12. White, J. L., Metzner, A. B., Thermodynamic and Heat Transport Considerations for Viscoelastic Fluids, Chemical Engineering Science, 20 (1965), 12, pp. 1055-1062
13. Shenoy, A. V., Mashelkar, R. A., Laminar Natural Convection Heat Transfer to a Viscoelastic Fluid, Chemical Engineering Science, 33 (1978), 6, pp. 769-776
14. Syrjala, S., Laminar Flow of Viscoelastic Fluids in Rectangular Ducts with Heat Transfer: A Finite Element Analysis, Int. Comm. Heat and Mass Transfer, 25 (1998), 2, pp. 191-204
15. Hayat, T., et al., Heat Transfer in Pipe Flow of a Johnson-Segalman Fluid, Int. Comm. Heat and Mass Transfer, 35 (2008), 10, pp. 1297-1301
16. Hammad, K. J., Vradis, G. C., Viscous Dissipation and Heat Transfer in Pulsatile Flows of a Yield-Stress Fluid, Int. Comm. Heat and Mass Transfer, 23 (1996), 5, pp. 599-612
17. Beg, O. A., et al., Computational Fluid Dynamics Modelling of Buoyancy Induced Viscoelastic Flow in a Porous Medium with Magnetic Field, Int. J. Applied Mechanics Engineering, 6 (2001), 1, pp. 187-210
18. Bhargava, R., et al., Numerical Study of Heat Transfer of a Third Grade Viscoelastic Fluid in Non-Darcy Porous Media with Thermophysical Effects, Physica Scripta: Proc. Royal Swedish Academy of Sciences, 77 (2008), pp. 1-11
19. Beg, O. A., et al., Computational Modeling of Biomagnetic Micropolar Blood Flow and Heat Transfer in a Two-Dimensional Non-Darcian Porous Medium, Meccanica, 43 (2008), 4, pp. 391-410
20. Zueco, J., Beg, O. A., Network Numerical Simulation Applied to Pulsatile Non-Newtonian Flow through a Channel with Couple Stress and Wall Mass Flux Effects, Int. J. Applied Mathematics and Mechanics, 5 (2009), 2, pp. 1-16
21. Walters, K., Non-Newtonian Effects in Some Elastico-Viscous Liquids whose Behaviour at Small Rates of Shear is Characterized by a General Linear Equation of State, Quart. J. Mech. Applied. Math., 15 (1962), 1, pp. 63-76
22. Soundalgekar, V. M., Puri, P., On Fluctuating Flow of an Elastico-Viscous Fluid Past an Infinite Plate with Variable Suction, J. Fluid Mechanics, 35 (1969), 3, pp. 561-573
23. Rath, R. S., Bastia, S. N., Steady Flow and Heat Transfer in a Visco-Elastic Fluid between Two Coaxial Rotating Disks, Proc. Mathematical Sciences, 87 (1978), 8, pp. 227-236
24. Roy, J. S., Chaudhury, N. K., Heat Transfer by Laminar Flow of an Elastico-Viscous Liquid along a Plane Wall with Periodic Suction, Czech. J. Physics, 30 (1980), 11, pp. 1199-1209
25. Raptis, A. A., Takhar, H. S., Heat Transfer from Flow of an Elastico-Viscous Fluid, Int. Comm. Heat and Mass Transfer, 16 (1989), 2, pp. 193-197
26. Chang, T. B., et al., Numerical Study of Transient Free Convective Mass Transfer in a Walters-B Viscoelastic Flow with Wall Suction, J. Theoretical Applied Mechanics, under review (2009)
27. Nanousis, N., Unsteady Magnetohydrodynamic Flows in a Rotating Elasto-Viscous Fluid, Astrophysics and Space Science, 199 (1993), 2, pp. 317-321
28. Sharma, V., Rana, G. C., Thermosolutal Instability of Walters' (model B') Visco-Elastic Rotating Fluid Permeated with Suspended Particles and Variable Gravity Field in Porous Medium, Int. J. Applied Mechanics Engineering, 6 (2001), 4, pp. 843-860
29. Sharma, R. C., Kumar, P., Sharma., S., Rayleigh-Taylor Instability of Walter' B' Elastico-Viscous Fluid through Porous Medium, Int. J. Applied Mechanics Engineering, 7 (2002), 2, pp. 433-444
30. Chaudhary, R. C., Jain, P., Hall Effect on MHD Mixed Convection Flow of a Viscoelastic Fluid Past an Infinite Vertical Porous Plate with Mass Transfer and Radiation, Theoretical and Applied Mechanics, 33 (2006), 4, pp. 281-309
31. Ray Mahapatra, T., Dholey, S., Gupta, A. S., Momentum and Heat Transfer in the Magnetohydrody-namic Stagnation-Point Flow of a Viscoelastic Fluid toward a Stretching Surface, Meccanica, 42 (2007), 3, pp. 263-272
32. Veena, P. H.,, Pravin, V. K., Padashetty, S. C., Non-Similar Solutions in Viscoelastic MHD Flow and Heat Transfer over a Porous Stretching Sheet with Internal Heat Generation and Stress Work, Int. J. Modern Mathematics, 2 (2007), 2, pp. 267-281
33. Rajagopal, K., Veena, P. H., Pravin, V. K., Nonsimilar Solutions for Heat and Mass Transfer Flow in an Electrically Conducting Viscoelastic Fluid over a Stretching Sheet Saturated in a Porous Medium with Suction/Blowing, J. Porous Media, 11 (2008), 2, pp. 219-230
34. Pohlhausen, E., Heat Transfer between Solid Body and Fluid Flow with Small Friction Forces and Small Heat Flux (in German), ZAMM, 1 (1921), pp. 115-121
35. Somers, E. V., Theoretical Considerations of Combined Thermal and Mass Transfer from Vertical Flat Plate, Journal of Appl. Mech., 23 (1956), 295-301
36. Mathers, W. G., Madden, A. J., Piret, E. L., Simultaneous Heat and Mass Transfer in Free Convection, Ind Engg. Chem., 49 (1956), 961-968
37. Gebhart, B., Pera, L., The Nature of Vertical Natural Convection Flows Resulting from the Combined Buoyancy Effects of Thermal and Mass Diffusion, International Journal of Heat and Mass Transfer, 14 (1971), 12, pp. 2025-2050
38. Soundalgekar, V. M., Ganesan, P., Finite Difference Analysis of Transient Free Convection with Mass Transfer on an Isothermal Vertical Flat Plate, International Journal of Engineering Science, 19 (1981), 6, pp. 757-770
39. Prasad., V. R., Bhaskar Reddy, N., Muthucumaraswamy, R., Radiation Effects on MHD unsteady Free Convection Flow with Mass Transfer Past a Vertical Plate with Variable Surface Temperature and Concentration, Journal of Energy, Heat and Mass Transfer, 31 (2009), pp. 239-260
40. Incropera, F. P., Dewitt, D. P., Fundamentals of Heat and Mass Transfer, 5th ed., John Wiley and Sons, New York, USA, 2007
41. Crank, J., Nicolson, P., A Practical Method for Numerical Evaluation of Solutions of Partial Differential Equations of the Heat Conduction Type, Proc. Camb. Phil. Society, 43 (1947), pp. 50-67
42. Prasad, V. R., Bhaskar Reddy, N., Muthucumaraswamy, R., Radiation and Mass Transfer Effects on Two-Dimensional Flow Past an Impulsively Started Infinite Vertical Plate, Int. J. Thermal Sciences, 46 (2007), 12, pp. 1251-1258
43. Gebhart, B., et al., Buoyancy-Induced Flows and Transport, Hemisphere, Washington, USA, 1988