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Effect of Viscous Dissipation on Seady Natural Convection Heat and Mass Transfer in a Vertical Channel with Variable Viscosity and Thermal Conductivity | ||
| Journal of Heat and Mass Transfer Research | ||
| مقاله 70، دوره 7، شماره 2 - شماره پیاپی 14، بهمن 2020، صفحه 105-116 اصل مقاله (1.37 M) | ||
| نوع مقاله: Full Length Research Article | ||
| شناسه دیجیتال (DOI): 10.22075/jhmtr.2020.18774.1250 | ||
| نویسندگان | ||
| Abiodun Ajibade؛ Princely Ohiolei Ojeagbase* | ||
| Department of Mathematics, Ahmadu Bello University, Zaria, Nigeria | ||
| تاریخ دریافت: 01 مهر 1398، تاریخ بازنگری: 04 اسفند 1398، تاریخ پذیرش: 24 بهمن 1398 | ||
| چکیده | ||
| In this study, effects of viscous dissipation and variable physical properties on steady natural convection heat and mass transfer flow through a vertical channel were investigated. The variability in viscosity and thermal conductivity are considered linear function of temperature. The governing equations are transformed into a set of coupled nonlinear ordinary differential equations and solved using Differential Transformation Method (DTM). Results obtained were compared with exact solution when some of the flow conditions were relaxed and results from DTM show an excellent agreement with the exact solution which was obtained analytically. The influence of the flow parameters on fluid temperature, concentration and velocity are presented graphically and discussed for variations of the governing parameters. From the course of investigation, it was found that increasing viscous dissipation causes fluid temperature, velocity as well as the skin friction on the surface of both channels to increase. However, increasing the fluid viscosity retards the fluid motion and causes fluid temperature to decrease. | ||
| کلیدواژه‌ها | ||
| Free convection؛ viscous dissipation؛ variable viscosity؛ thermal conductivity؛ DTM | ||
| مراجع | ||
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[1] Gebhart, B. (1962). ‘Effect of Viscous Dissipation in Natural Convection’, Journal of Fluid Mechanics, 14(2), pp. 225- 232. [2] Gebhart, B. and Mollendorf, J. (1969). ‘Viscous Dissipation in External Natural Convection Flow’, Journal of Fluid Mechanics, 38(1), pp. 97-107. [3] Soundalgekar, V. M. (1972). ‘Viscous Dissipation Effects on Unsteady Free Convective Flow Past an Infinite Vertical Porous Plate with Constant Suction’, International Journal of Heat and Mass Transfer, 15(6), pp.1253- 1261. [4] Soundalgekar, V. M. (1974). ‘Viscous Dissipation Effects on Unsteady Free Convective Flow Past an Infinite Vertical Porous Plate with Variable Suction’, International Journal of Heat and Mass Transfer, 17(1), pp. 85- 92. [5] Mahajan, R. L. and Gebhart, B. (1989). ‘Viscous Dissipation Effects in Buoyancy Induced Flow’, International Journal of Heat and Mass Transfer, 32(7), pp. 1380- 1382. [6] Pantokratoras, A. (2005). ‘Effects of Viscous Dissipation in Natural Convection Along a Heated Vertical Plate’, Applied Mathematical Modeling, 29(6), pp.553- 564. [7] Parveen, N., Nath, S. and Abdul, M. A. (2014). ‘Viscous Dissipation Effect on Natural Convection Flow along a Vertical Wavy Surface’, Procedia Engineering, 90, pp. 294-300. [8] Raja, R. T., Radhika, T. S. L. and Blackledge, J. M. (2017). ‘The Effect of Viscous Dissipation on Convection in a Porous Medium’, Mathematica Aeterna, 7(2), pp.131- 145. [9] Kairi, R. R., Murthy, P. V. S. N. and Ng ,C.O. (2011). ‘Effect of Viscous Dissipation on Natural Convection in a non- Newtonian Fluid of Variable Viscosity’, The Open Transport Phenomena Journal, 3, pp.1- 8. [10] Singh, A. K., Sharma, P. K. and Singh, N. P. (2009). ‘Free Convection Flow with Variable Viscosity Through Horizontal Channel Embedded in Porous Medium’, The Open Applied Physics Journal, 2, pp.11- 19. [11] Singh, P. K. (2012). ‘Effects of Variable Fluid Properties and Viscous Dissipation on Mixed Convection Fluid Flow Past a Vertical Plate in Porous Medium’, International Journal of Scientific and Engineering Research, 3(7), pp.398-402. [12] Rudraiah, N., Sujatha, N. and Kumar, J. S. (2013). ‘Effects of Variation of Viscosity and Viscous Dissipation on Oberbeck Magnetoconvection in a Chiral Fluid’, Journal of Applied Fluid Mechanics, 6(2), 229- 237. [13] Mahanti, N. C. and Gaur, P. (2009). ‘Effects of Varying Viscosity and Thermal conductivity on Steady Free Convective Flow and Heat Transfer along an Isothermal Vertical Plate in the presence of heat sink’, Journal of applied Fluid Mechanics, 2(1), 23-28. [14] Choudhury, M. and Hazarika, G. C. (2012). ‘The Effects of Variable Viscosity and Thermal Conductivity on MHD Oscillatory Free Convective Flow past a Vertical Plate in Slip Flow Regime with Variable Suction and Periodic Plate Temperature’, Journal of Applied Fluid Mechanics, 6(2), pp.277- 283. [15] Uwanta, I. J. and Hamza, M. M. (2016). ‘Unsteady/Steady Hydromagnetic Flow of Reactive Viscous Fluid in Vertical Channel with Thermal Diffusion and Temperature Dependent Viscosity’, Journal of Applied Fluid Mechanics, 9(1), pp.167- 176. [16] Manjunatha, S. and Gireesha, B. J. (2016). ‘Effects of Variable Viscosity and Thermal Conductivity on MHD Flow and Heat Transfer of a Dusty Fluid’, Ain Shams Engineering Journal, 7 pp.505- 515. [17] Zhou, J. K. (1986). ‘Differential transformation and its applications for electrical circuits, Hauzhong’, University Press Wuhan china. [18] Chen, C. K. and Ho, S. H. (1999). ‘Solving partial differential equations by two dimensional differential transformation method’, Applied Mathematics and Computation, 147, 547-567. [19] Umavathi, J. C. and Shekan, M.(2016). ‘Combined effects of variable viscosity and thermal conductivity on free convection flow of a viscous fluid in a vertical channel using DTM’, Meccanica 51, pp.71-86. 116 A. O. Ajibade / JHMTR 7 (2020) 105- 116 [20] Hatami, M., Hatami, J., Jafaryar, M. and Domairry, G.(2016). ‘Differential Transformation Method for Newtonian and Non-Newtonian Fluids Flow Analysis: Comparison with HPM and Numerical Solution’, Journal of the Brazilian Society of Mechanical Sciences and Engineering, 38(2), pp.589-599. [21] Oke, A. (2017). ‘Convergence of Differential Transformation Method for Ordinary Differential Equations’, Journal of Advances in Mathematics and Computer Science, 24(6), pp.1-17. [22] Jha, B. K. and Ajibade, A.O. (2010). ‘Free Convection Heat and Mass Transfer Flow in a Vertical Channel with the Dufour Effect’, Journal of Process Mechanical Engineering, 224(2), pp.91-101. | ||
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