Effect of Heat Source on the Rotatory Flow Past an Accelerated Infinite Vertical Plate through Porous Medium
Keywords:
Natural convection, Heat transfer, Coriolis force, Heat source, Porous mediumAbstract
The precise solution to the unstable free convection flow of a viscous incompressible fluid past an accelerating infinite vertical plate via a porous medium in the presence of heat source has been developed using the Laplace transform technique. The permeability parameter λ, Prandtl number Pr, the effects of rotation parameter Rc in presence of heat source S on axial and transverse velocities are the main topics of this investigation of fluid dynamics in porous media for air and water.The rotating parameter for water, axial velocity increases with Rc whereas transverse velocity decreases. The Permeability parameter λ oscillates with axial velocity but transverse velocity decreases, as λ rises. For air, axial velocity becomes unstable as Rc decreases and λ increases. A lower axial velocity is the result of the Prandtl number pr. As Rc decreases, the axial velocity for both air and water becomes unstable. As time t rises, water's axial velocity also increases. The flow of water and air is destabilized by heat source S.For water; Axial and transverse skin friction decrease with Rc increases. Axial and transverse skin friction oscillates for air as Rc increases. Axial skin friction for both media decrease with increasing time t. Transverse skin friction falls in air as well as in water. Axial skin friction decreases for water as λ increases, but it is irregular for air. Skin friction oscillates for both mediums due to heat source S. In this paper, study effect of different parameters on the viscous fluid in presence of Heat source.
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References
Stokes (1851) “On the effect of internal friction of fluids on the motion of pendulum” camb. Phil. Trans. IX 8.
Gebhart B. (1971), “Heat Transfer” 2ndedn. McGraw-Hill co. New York.
Bejan A. (1987), “Convective heat transfer in porous media” J. Wiley and sons, New York.
Soundelgekar V.M., (1977) “Free convection effects on the stokes problem for an infinite vertical plate” J. Heat transfer (Tr ASME)99c p.499.
Brikman H.C. (1947), “A calculation of the viscous forces exerted by a flowing fluid on a dense swarm particle” Applied scientific research A1, p.27-34
Cheng p., (1978) “Heat transfer in geothermal system” Adv. Heat transfer,14, p.1-105.
Osullivan M.S., (1985) “Convection in boiling in porous layer, convective flows in porous media” DISR sci. Info.pub. centre, New Zeland.
Gustave-Gaspard Coriolis (1835) "Sur les equations du mouvement relatif des systèmes de corps" (On the Equations of Relative Motion of Body Systems) Journal de l'École Polytechnique.
Proudman (1916) On the Motion of Solids in a Liquid Possessing Vorticity, Proc. Roy. Soc. Landon A., VOL.92, NO.642, PP.408-424
Ekman (1905) "On the Influence of the Earth's Rotation on Ocean-Currents" Arkiv, Matematik, Astronomi och Fysik, vol.2, pp 1-52.
Park and Lau (1998) Effect of Channel Orientation of Local Heat (Mass) Transfer Distributions in a Rotating Two-Pass Square Channel with Smooth Walls, J. Heat Transfer., vol. 120, no. 3, pp 624-632,1998
Han J.C., Datta S. and Ekkad S. (1998), Gas Turbine Heat Transfer and Cooling Technology, Boca Raton, FL: CRC Press.
Bhalerao and Lahurikar (2014) Mass Transfer effects on Transient free convection flow past an infinite vertical plate in Rotating Fluid, Int. j. Math. Sci.Eng. Appl., vol. 8, no.2, pp 367-372
Vadasz P. (1998), Corolis Effects on Gravity Driven Convection in Rotating Porous Layer Heated from 11, Below, J. Fluid Mech., vol. 376. pp 351-375.
Bejan A. (2013) Convection Heat Transfer ,4th ed. New York; John Wiley and sons.
Srinivasa Raju R., Sudhakar K., and Rangamma M., (2013) The Effect of Thermal Radiation and Heat Source on an Unsteady MHD Free Convection Flow past an Infinite Vertical Plate with Thermal Diffusion and Diffusion Thermo, J. Inst. Eng. India Ser. C, Vol 94, pp.175-186.
Soundalgekar and Gupta (1980): Effects of free convection currents on the flow past an accelerated vertical plate. Acta Cien. Indica 6. 138
Soundalgekar V.M., Pohanerkar S.G. and Lahurikar R.M. (1992) “Effect of mass transfer and heat sources on the flow past an accelerated infinite vertical plate” forschung im Ingenieurwesen-Engineering Research Bd. 58 Nr 3, p.63-66.
Lahurikar R. M., Gitte V.T., Ubale Patil P.P. (2018) “Mass transfer effects on flow through porous medium past an impulsively started infinite vertical plate in a rotating fluid”. Int. J. of Fluid Mechanics Research ,45(4):321-338(2018)
Lahurikar R.M., Gitte V.T., Ubale Patil P.P. (2017) “Mass Transfer Effects on Stokes Problem for an Infinite Vertical Plate in a Rotating Fluid” Int. J. of Engg. Research and Application.Vol.7, Issue 7(part 2) July 2017.pp 01-09
Gebhart B. and L. Pera (1971): The nature of vertical natural convection flows resulting from the combined buoyancy effects of thermal and mass diffusion. International J. Heat Mass Transfer 14 2025.
Muskat M. (1946) “Flow of homogeneous fluids through porous medium” J.W. Edwards Inc., Ann Arbor, Michigan (USA)
Lahurikar R.M., (2014) “Formulae for a complex error function” bull. Marathwada Math. Soc. Vol 15, No 2, p. 42-48
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