THERMAL SCIENCE
International Scientific Journal
SLIP EFFECTS ON UNSTEADY FREE CONVECTIVE HEAT AND MASS TRANSFER FLOW WITH NEWTONIAN HEATING
ABSTRACT
This article investigates the effects of slip condition on free convection flow of viscous incompressible fluid past an oscillating vertical plate with Newtonian heating and constant mass diffusion. The governing equations together with imposed initial and boundary conditions are solved using the Laplace transform technique. The results for velocity, temperature and concentration are obtained and plotted for the embedded parameters. The results for skin friction, Nusselt number and Sherwood number are computed in table. It is investigated that the presence of slip parameter reduces the fluid velocity.
KEYWORDS
PAPER SUBMITTED: 2013-11-19
PAPER REVISED: 2014-06-16
PAPER ACCEPTED: 2014-11-24
PUBLISHED ONLINE: 2014-12-28
THERMAL SCIENCE YEAR
2016, VOLUME
20, ISSUE
Issue 6, PAGES [1939 - 1852]
- Soundalgekar, V.M., Lahurikar, R.M., Pohanerkar, S.G., Birajdar, N.S., Effects of mass transfer on the flow past an oscillating infinite vertical plate with constant heat flux, Thermophysics and AeroMechanics, 1 (1994), pp. 119-124.
- Soundalgekar, V.M., Pohanerkar, S.G., Lahurikar, R.M., Birjadar, N.S., Mass transfer effects on flow past a vertical oscillating plate with variable temperature, Heat and Mass transfer, 30 (1995), pp. 309-312.
- Asogwa, K.K., Uwanta, I.J., Momoh, A.A., Omokhuale, E., Heat and mass transfer over a vertical plate with periodic suction and heat sink, Research Journal of Applied Sciences, Engineering and Technology, 5 (2013), pp. 7-15.
- Das, U.N., Deka, R.K., Soundalgekar, V.M., Radiation effects on flow past an impulsively started vertical infinite plate, Journal of Theoretical and Applied Mechanics, 1 (1996), pp. 111-115.
- Raptis, A., Perdikis, C., Radiation and free convection flow past a moving plate, International Journal of Applied Mechanics and Engineering, 4 (1999), pp. 817-821.
- Das, S., Jana, M., Jana, R.N., Radiation effect on natural convection near a vertical plate embedded in porous medium with ramped wall temperature, Open Journal of Fluid Dynamics, 1 (2011), pp. 1-11.
- Chamkha, A.J., Takhar, H.S., Soundalgekar, V.M., Radiation effects on free convection flow past a semi-infinite vertical plate with mass transfer, Chemical Engineering Journal, 84 (2011), pp. 335-342.
- Chandrakala, P., Bhaskar, P.N., Radiation effects on oscillating vertical plate with uniform heat flux and mass diffusion, International Journal of Fluids Engineering, 4 (2012), pp. 1-11.
- Abid, H., Ismail, Z., Khan, I., Hussein, A.G., Sharidan, S., Unsteady boundary layer MHD free convection flow in a porous medium with constant mass diffusion and Newtonian heating, The European Physical Journal Plus, 129 (2014), pp. 1-16.
- Hossain, M.A., Takhar, H.S., Radiation effect on mixed convection along a vertical plate with uniform surface temperature, Heat and Mass transfer, 31 (1996), pp. 243-248.
- Deka, R.K., Das, S.K., Radiation effects on free convection flow near a vertical plate with ramped wall temperature, Engineering, 3 (2011), pp. 1197-1206.
- Chandrakala, P., Radiation effects on flow past an impulsively started vertical oscillating plate with uniform heat flux, International Journal of Dynamics of Fluid, 6 (2010), pp. 209-215.
- Merkin, J.H., Natural convection boundary layer flow on a vertical surface with Newtonian heating, International Journal of Heat and Fluid Flow, 15 (1994), pp. 392-398.
- Salleh, M.Z., Nazar, R., Pop, I., Boundary layer flow and heat transfer over a stretching sheet with Newtonian heating, Journal of the Taiwan Institute of Chemical Engineers, 41 (2010), pp. 651-655.
- Salleh, M.Z., Nazar, R., Arifin, N.M., Pop, I., Forced convection heat transfer over a circular cylinder with Newtonian heating, Journal of Engineering Mathematics, 69 (2011), pp. 101-110.
- Kasim, A.R.M., Mohammad, N.F., Aurangzaib, Sharidan, S., Natural convection boundary layer flow of a viscoelastic fluid on solid sphere with Newtonian heating, World Academy of Science, Engineering and Technology, 64 (2012), pp. 628-633.
- Das, S., Mandal, C., Jana, R.N., Radiation effects on unsteady free convection flow past a vertical plate with Newtonian heating, International Journal of Computer Applications, 41 (2012), pp. 36-41.
- Chaudhary, R.C., Jain, P., Unsteady free convection boundary layer flow past an impulsively started vertical surface with Newtonian heating, Romanian Journal of Physics, 51 (2006), pp. 911-925.
- Mebine, P., Adigio, E.M., Unsteady free convection flow with thermal radiation past a vertical porous plate with Newtonian heating, Turkish Journal of Physics, 33 (2009), pp. 109-119.
- Narahari, M., Ishak, A., Radiation effects on free convection flow near a moving vertical plate with Newtonian heating, Journal of Applied Sciences, 11 (2011), pp. 1096-1104.
- Narahari, M., Nayan, M.Y., Free convection flow past an impulsively started infinite vertical plate with Newtonian heating in the presence of thermal radiation and mass diffusion, Turkish Journal of Engineering and Environmental Science, 35 (2011), pp. 187-198.
- Abid, H., Anwar, M.I., Farhad, A., Khan, I., Sharidan, S., Natural convection flow past an oscillating plate with Newtonian heating, Heat Transfer Research, (2013), DOI: 10.1615/HeatTransRes.2013006385.
- Abid, H., Khan, I., Sharidan, S., An exact analysis of heat and mass transfer past a vertical plate with Newtonian heating, Journal of Applied Mathematics, (2013), pp. 1-9.
- Soltani, F., Yilmazar, U., Slip velocity and slip layer thickness in flow of concentrated suspensions, Journal of Applied Polymer Science, 70 (1998), pp. 515-522.
- Seddeek, M.A., Abdelmeguid, M.S., Hall and Ion slip effects on magneto-micropolar fluid with combined forced and free convection in boundary layer flow over a horizontal plate, Journal of the Korean Society for Industrial and Applied Mathematics, 8 (2004), pp. 51-73.
- Hayat, T., Afzaal, M.F., Fetecau, C., Hendi, A.A., Slip effects on the oscillatory flow in a porous medium, Journal of Porous Media, 14 (2011), pp. 481-493.
- Hamza, M.M., Isah, B.Y., Usman, H., Unsteady heat transfer to MHD oscillatory flow through a porous medium under slip condition, International Journal of Computer Applications, 33 (2011), pp. 12-17.
- Farhad, A., Norzieha, M., Sharidan, S., Khan, I., On accelerated MHD flow in a porous medium with slip condition, European Journal of Scientific Research, 57 (2011), pp. 293-304.
- Farhad, A., Norzieha, M., Sharidan, S., Khan, I., On hydromagnetic rotating flow in a porous medium with slip condition and hall current, International Journal of the Physical Sciences, 7 (2011), pp. 1540-1548.
- Magyari, E., Pantokratoras, A., Note on the effect of thermal radiation in the linearized Rosseland approximation on the heat transfer characteristics of various boundary layer flows, International Communications in Heat and Mass Transfer, 38 (2011), pp. 554-556.