Radiation effect on free convection flow between oscillating parallel plates with mass diffusion
Keywords:Free convection, radiation, oscillating, parallel plates, mass diffusion,
This study investigates radiation effect on unsteady oscillatory free convection between two parallel plates with mass diffusion. Appropriate non-dimensional variables are used to reduce the dimensional governing equations to dimensionless equation along with imposed initial and boundary conditions. The solutions for velocity, temperature, and concentration profiles are obtained by using Laplace transform method. To illustrate the behavior of the fluid flow, graphical results are presented with influenced of Schmidt number, Prandtl number, radiation parameter, oscillating parameter, Grashof, and mass Grashof number. The corresponding expressions for skin friction, Nusselt number, and Sherwood number are also calculated. It is observed that increasing radiation parameter, Prandtl, and Schmidt number will increase the Nusselt number but the skin friction will be reduced.
Al-subaie, M. A., & Chamkha, A. J. (2004). Transient natural convection flow of a particulate suspension through a vertical channel 40 707–713.
Makinde, O. D., & Mhone, P. Y. (2005). Heat transfer to MHD oscillatory flow in a channel filled with porous medium. Romanian Journal of physics, 50(9/10), 931.
Kundu, B. (2015). Semianalytical methods for heat and fluid flow between two parallel plates. Journal of Thermal Engineering, 1(3), 175-181.
Hamza, M. M. (2016). Free convection slip flow of an exothermic fluid in a convectively heated vertical channel. Ain Shams Engineering Journal.
Singh, A. K., Gholami, H. R., & Soundalgekar, V. M. (1996). Transient free convection flow between two vertical parallel plates. Heat and mass transfer, 31(5), 329-331.
Singh, A. K., & Paul, T. (2006). Transient natural convection between two vertical walls heated/cooled asymmetrically. International Journal of Applied Mechanics and Engineering, 11(1), 143-154.
Narahari, M . (2010). Effects of thermal radiation and free convection currents on the unsteady Couette Flow between two vertical parallel plates with constant heat flux at one boundary. Wseas Transactions on heat and mass transfer 5(1) 21-30.
Paul, T., Jha, B. K., & Singh, A. K. (1996). Transient free convective flow in a vertical channel with constant temperature and constant heat flux on walls. Heat and mass transfer, 32(1-2), 61-63. 1
Singh, A. K. (2018). Effect of Newtonian Cooling/Heating on MHD Free Convective Flow between Vertical Walls with Induced Magnetic Field. In Applications of Fluid Dynamics (pp. 411-430). Springer, Singapore.
K. Jha, B., & Isa, S. (2013). Computational Treatment of MHD Transient Natural Convection Flow in a Vertical Channel Due to Symmetric Heating in Presence of Induced Magnetic Field. Journal of the physical society of Japan, 82(8), 084401.
Seth, G. S., Singh, J. K., & Mahato, G. K. (2012). Effects of Hall current and rotation on unsteady hydromagnetic Couette flow within a porous channel. International Journal of Applied Mechanics, 4(02), 1250015.
Alagoa, K. D., Tay, G., & Abbey, T. M. (1998). Radiative and free convective effects of a MHD flow through a porous medium between infinite parallel plates with time-dependent suction. Astrophysics and Space Science, 260(4), 455-468.
Narahari,M. Transient free convection Flow between long vertical parallel plates with ramped Wall temperature at one boundary in the presence of thermal radiation and constant mass diffusion. Meccanica 47(8) (2012), 1961-1976.
Jha, B. K., & Musa, M. K. (2012). Unsteady natural convection Couette flow of heat generating/absorbing fluid between vertical parallel plates filled with porous material. Applied Mathematics and Mechanics, 33(3), 303-314.
Rajput, U. S., & Sahu, P. K. (2011). Transient free convection MHD flow between two long vertical parallel plates with constant temperature and variable mass diffusion. Journal of Math. Analysis, 34(5), 1665-1671.
Rajput, U. S., & Sahu, P. K. (2011). Combined effects of chemical reactions and heat generation/absorption on unsteady transient free convection MHD flow between two long vertical parallel plates through a porous medium with constant temperature and mass diffusion. Elixir Appl. Math, 39, 4855-4859.
Bunonyo, K. W., Amos, E., & Eli, I. C. (2018). Unsteady Oscillatory Couette Flow between Vertical Parallel Plates with Constant Radiative Heat Flux.
Varma, S., & Raju, M. (2011). Unsteady MHD free convection oscillatory Couette flow through a porous medium with periodic wall temperature.
Das, S., Jana, R. N., & Makinde, O. D. (2014). An oscillatory MHD convective flow in a vertical channel filled with porous medium with Hall and thermal radiation effects. Special Topics & Reviews in Porous Media: An International Journal, 5(1).
Falade, J. A., Ukaegbu, J. C., Egere, A. C., & Adesanya, S. O. (2017). MHD oscillatory flow through a porous channel saturated with porous medium. Alexandria engineering journal, 56(1), 147-152.