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Mixed convective flow with variable viscosity and variable thermal conductivity in a channel in the presence of first order chemical reaction with heat generation or absorption

Treść / Zawartość
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
A study has been made on the flow and heat transfer of a viscous fluid in a vertical channel with first order chemical reaction and heat generation or absorption assuming that the viscosity and thermal conductivity are dependent on the fluid temperature. The temperature of the walls is maintained constant. Under these assumptions, the governing balance equations of mass, momentum and energy are formulated. The dimensionless forms of the governing equations are coupled and non-linear, which cannot be solved analytically and therefore require the use of the Runge-Kutta fourth order along with shooting technique. Graphs for velocity and temperature under different values of parameters involved are plotted and discussed. The skin friction and Nusselt number on the channel walls are also computed and discussed. Furthermore, the investigation found that variable viscosity and variable thermal conductivity enhance the velocity and temperature of the flow.
Rocznik
Strony
91--102
Opis fizyczny
Bibliogr. 20 poz., rys., tab.
Twórcy
autor
  • Department of Studies and Research in Mathematics, Tumkur University, Tumakuru Karnataka, India
  • Department of Mathematics, Basaveshwar Engineering College, Bagalkot, Karnataka, India
  • Department of Studies and Research in Mathematics, Tumkur University, Tumakuru Karnataka, India
Bibliografia
  • [1] Bejan, A. (2013). Convection Heat Transfer. New Jersey, Wiley, Breckling J., The Analysis of Directional Time Series: Applications to Wind Speed and Direction, ser. Lecture Notes in Statistics. Berlin: Springer, 61.
  • [2] Umavathi, J.C. (2011). Free convection of composite porous medium in a vertical channel. Heat Transfer - Asian Research, 40(4), 308-329.
  • [3] Muthucumaraswamy, R., & Ganesan, P. (2001). First-order chemical reaction on flow past an impulsively started vertical plate with uniform heat and mass flux. Acta Mechanica, 147, 45-57.
  • [4] Umavathi, J.C., Patil Mallikarjun, B., & Pop, I. (2006). On laminar mixed convection flow in a vertical porous stratum with asymmetric wall heating conditions. International Journal of Transport Phenomenon, 8(2).
  • [5] Seddeek, M.A. (2005). Finite-element method for the effects of chemical reaction, variable viscosity, thermophoresis and heat generation/absorption on a boundary-layer hydromagnetic flow with heat and mass transfer over a heat surface, Acta Mechanica, 177, 1-18.
  • [6] Herwig, H., & Wickern, G. (1986). The effect of variable properties on laminar boundary layer flow. Warme- und Stoffubertragung, 20, 47-57.
  • [7] Pop, I., Gorla, R.S.R., & Rashidi, M. (1992). The effect of variable viscosity on flow and heat transfer to a continuous moving flat plate. Int. J. Eng. Sci., 30(1), 1-6.
  • [8] Chiam, T.C. (1996). Heat transfer with variable thermal conductivity in a stagnation-point flow towards a stretching sheet. Int. Comm. Heat Mass Transfer, 23, 239-248.
  • [9] Abel, M.S., Khan, S.K., & Prasad, K.V. (2002). Study of visco-elastic fluid flow and heat transfer over a stretching sheet with variable viscosity. Int. J. Non-Linear Mech., 37, 81-88.
  • [10] Gary, J., Kassoy, D.R., Tadjeran, H., & Zebib A. (1982). The effects of significant viscosity variation on convective heat transport in water-saturated porous medium. J. Fluid Mech., 117, 233-249.
  • [11] Mehta, K.N., & Sood, S. (1992). Transient free convection flow with temperature dependent viscosity in a fluid saturated porous medium. Int. J. Eng. Sci., 30, 1083-1087.
  • [12] Zamora, B., & Hernández, J. (1997). Influence of variable property effects on natural convection flows in asymmetrically-heated vertical channels. Int. Comm. Heat Mass Transfer, 24, 1153-1162.
  • [13] Hernández, J., & Zamora, B. (2005). Effects of variable properties and non-uniform heating on natural convection flows in vertical channels. International Journal Heat and Mass Transfer, 48, 793-807.
  • [14] Barletta, A., & Zanchini, E. (1999). On the choice of the reference temperature for fully- developed mixed convection in a vertical channel. International Journal Heat and Mass Transfer, 42, 3169-3181.
  • [15] Attia, H.A. (2006). Unsteady hydromagnetic channel flow of dusty fluid with temperature dependent viscosity and thermal conductivity. Heat Mass Transfer, 42, 779-787.
  • [16] Patil Mallikarjun, B., Umavathi, J.C., & Narashimha Murthy, S. (2013). On laminar magnetoconvection flow in a vertical channel in the presence of heat generation or heat absorption. International Journal of Heat Transfer, 135(4), 042503-1 to 042503-8.
  • [17] Chamka, A.J. (2003). MHD flow of a uniformly stretched vertical permeable surface in the presence of heat generation/absorption and a chemical reaction. Int. Comm. Heat Mass Transfer, 30, 413-422.
  • [18] Prathap Kumar, J., Umavathi, J.C., & Jagtap Sharadkumar (2013). Effect of first order chemical reaction in a vertical double-passage channel. International Journal of Engineering Research and Applications, 3(5), 967-977.
  • [19] Patil Mallikarjun, B., & Vasudeva Murthy, R. (2018). Finite element analysis of fully developed mixed convection through a vertical channel in the presence of heat generation/absorption with fist order chemical reaction. Defect and Diffusion Forum, 388, 394-406.
  • [20] Umavathi, J.C. (2016). Combined effect of variable viscosity and thermal conductivity on mixed convection flow of a viscous fluid in a vertical channel in the presence of first order chemical reaction. European Journal of Mechanics B/Fluids, 58, 98-118.
Uwagi
Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-ee665ac9-f4a8-4d7b-b5bb-e3e47d5039bd
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