DUSTY GAS FLOW OVER A SEMI-INFINITE VERTICAL CONE
This work is focused on 2-D unstable convective dusty gas flow over a semi-infinite plumb (vertical) cone. The ruling PDE’s are solved numerically using a finite difference algorithm. Our current numerical outcomes are compared with the available published paper and it is concluded that they are in an outstanding agreement with each other. Mathematical results are presented in favor of transient dusty gas momentum, dust particles velocity, temperature contour, local as well as average skin friction. Nusselt number on selected values of dust mass concentration and dust parameters are presented graphically and discussed briefly. This is done in order to make clear the influence of the various parameters involved in the problem.
apex, dusty gas, finite difference, shearing stress, vertical cone.
Received: October 23, 2020; Accepted: December 10, 2020; Published: April 12, 2021
How to cite this article: G. Palani and E. J. Lalith Kumar, Dusty gas flow over a semi-infinite vertical cone, JP Journal of Heat and Mass Transfer 22(2) (2021), 201-216. DOI: 10.17654/HM022020201
This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License
References:
[1] H. J. Merk and J. A. Prins, Thermal convection laminar boundary layers - I, Appl. Sci. Res. A 4 (1953), 11-24.[2] H. J. Merk and J. A. Prins, Thermal convection laminar boundary layer - II, Appl. Sci. Res. A 4 (1954), 195-206.[3] R. G. Hering and R. J. Grosh, Laminar free convection from a non-isothermal cone, Int. J. Heat Mass Transfer 5 (1962), 1059-1068.[4] S. Roy, Free convection from a vertical cone at high Prandtl numbers, ASME J. Heat Transfer 96 (1974), 115-117.[5] T. Watanabe, Free convection boundary layer flow with uniform suction injection over a cone, Acta Mech. 87 (1991), 1-9.[6] H. S. Takhar, A. J. Chamkha and G. Nath, Effect of thermo-physical quantities on the natural convection flow of gases over a vertical cone, Int. J. Engg. Sci. 42 (2004), 243-256.[7] Pullepu Bapuji, K. Ekambavanan and I. Pop, Finite difference analysis of laminar free convection flow past a non-isothermal vertical cone, Heat and Mass Transfer 44 (2008), 517-526.[8] P. G. Saffman, On the stability of laminar flow of a dusty gas, J. Fluid Mech. 13 (1962), 120-128.[9] F. E. Marble, Dynamics of a gas containing small solid particles - Reprinted from Combustion and Propulsion, 5th AGARDograph Colloquium, Pergamon Press, New York, 1963, pp. 175-213.[10] J. T. C. Liu, Flow induced by an oscillating flat plate in a dusty gas, Phys. Fluids 9 (1966), 1716-1720.[11] V. M. Soundalgekar and M. Y. Gokhale, Flow of a dusty-gas past an impulsively started infinite vertical plate, Reg. J. Energy Heat and Mass Transfer 6 (1984), 289-295.[12] P. Ganesan and G. Palani, Unsteady free convective flow of a dusty gas past a semi-infinite inclined plate with constant heat flux, Int. J. Appl. Mech. Eng. 9(3) (2004), 483-492.[13] S. Rashmi, V. Kavitha, B. Saba Roohi, Gurumurthy, B. J. Gireesha and C. S. Bagewadi, Unsteady flow of a dusty fluid between two oscillating plates under varying constant pressure gradient, Novi Sad J. Math. 37(2) (2007), 25-34.[14] Bijjanal Jayanna Gireesha, Gosikere Kenchappa Ramesh, Hatti Jayappa Lokesh and Channabasappa Shanthappa Bagewadi, Boundary layer flow and heat transfer of a dusty fluid over a stretching vertical surface, Appl. Math. 2 (2011), 475-481.[15] B. Carnahan, H. A. Luther and J. O. Wilkes, Applied Numerical Methods, John Wiley and Sons, New York, 1969.