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## entrFree convection flow past an impulsively started infinite vertical plate with Newtonian heating in the presence of thermal radiation and mass diffusionFree convection flow past an impulsively started infinite vertical plate with Newtonian heating in the presence of thermal radiation and mass diffusion

#### Marneni NARAHARI [1] , M. Yunus NAYAN [2]

An analytical study of free convection flow near an impulsively started infinite vertical plate with Newtonian heating in the presence of thermal radiation and constant mass diffusion was performed. The mathematical model reduced to a system of coupled linear partial differential equations for the velocity, the temperature, and the concentration; the closed-form exact solutions were obtained by the Laplace transform method. Representative velocity and temperature profiles were graphed and the numerical values of the skin friction and the Nusselt number were calculated. The effects of different system parameters, such as the radiation parameter, buoyancy ratio, Grashof number, Prandtl number, Schmidt number and time on the velocity, temperature, skin friction, and Nusselt number, were examined in detail. It was observed that the velocity increased for aiding flows, whereas it decreased for opposing flows. The velocity decreased with increasing Schmidt number and radiation parameter. The skin friction decreased in the presence of aiding flows whereas it increased in the presence of opposing flows. Furthermore, the skin friction increased with increasing Schmidt number and radiation parameter.
An analytical study of free convection flow near an impulsively started infinite vertical plate with Newtonian heating in the presence of thermal radiation and constant mass diffusion was performed. The mathematical model reduced to a system of coupled linear partial differential equations for the velocity, the temperature, and the concentration; the closed-form exact solutions were obtained by the Laplace transform method. Representative velocity and temperature profiles were graphed and the numerical values of the skin friction and the Nusselt number were calculated. The effects of different system parameters, such as the radiation parameter, buoyancy ratio, Grashof number, Prandtl number, Schmidt number and time on the velocity, temperature, skin friction, and Nusselt number, were examined in detail. It was observed that the velocity increased for aiding flows, whereas it decreased for opposing flows. The velocity decreased with increasing Schmidt number and radiation parameter. The skin friction decreased in the presence of aiding flows whereas it increased in the presence of opposing flows. Furthermore, the skin friction increased with increasing Schmidt number and radiation parameter.
• Abramowitz, M. and Stegun, I.A., Handbook of Mathematical Functions, Dover Publications, New York, 1972.
• Arpaci, V.S., “Eﬀect of Thermal Radiation on the Laminar Free Convection from a Heated Vertical Plate”, International Journal of Heat Mass Transfer, 11, 871-881, 1968.
• Cess, R.D., “The Interaction of Thermal Radiation with Free Convection Heat Transfer”, International Journal of Heat Mass Transfer, 9, 1269-1277, 1966.
• Chamkha, A.J., Takhar, H.S. and Soundalgekar, V.M., “Radiation Eﬀects on Free Convection Flow Past a Semi-InŞnite Vertical Plate With Mass Transfer”, Chemical Engineering Journal, 84, 335-342, 2001.
• Chaudhary, R.C. and Jain, P., “An Exact Solution to the Unsteady Free-Convection Boundary-Layer Flow Past an Impulsively Started Vertical Surface with Newtonian Heating”, Journal of Engineering Physics and Thermophysics, 80, 954-960, 2007.
• Das, U.N., Deka, R. and Soundalgekar, V.M., “Eﬀects of Mass Transfer on the Flow Past an Impulsively Started InŞnite Vertical Plate with Constant Heat Flux and Chemical Reaction”, Forschung im Ingenieurwesen – Engineering Research, 60, 284-287, 1994.
• Das, U.N., Deka, R.K. and Soundalgekar, V.M., “Radiation Eﬀects on Flow Past an Impulsively Started Vertical Plate – An Exact Solution”, Journal of Theoretical and Applied Fluid Mechanics, 1, 111-115, 1996.
• Das, U.N., Ray, S.N. and Soundalgekar, V.M., “Mass Transfer Eﬀects on Flow Past an Impulsively Started InŞnite Vertical Plate with Constant Mass Flux – An Exact Solution”, Heat and Mass Transfer, 31, 163-167, 1996.
• Gebhart, B. and Pera, L., “The Nature of Vertical Natural Convection Flows Resulting from the Combined Buoyancy Eﬀects of Thermal and Mass Diﬀusion”, International Journal of Heat Mass Transfer, 14, 2025-2050, 1971.
• Hossain, M.A., Alim, M.A. and Rees, D.A.S., “The Eﬀect of Radiation on Free Convection from a Porous Vertical Plate”, International Journal of Heat and Mass Transfer, 42, 181-191, 1999.
• Kaya, A., Aydin, O. and Dincer, I., “Numerical Modeling of Heat and Mass Transfer During Forced Convection Drying of Rectangular Moist Objects”, International Journal of Heat and Mass Transfer, 49, 3094-3103, 2006.
• Lesnic, D., Ingham, D.B. and Pop, I., “Free Convection Boundary-Layer Flow along a Vertical Surface in a Porous Medium with Newtonian Heating”, International Journal of Heat and Mass Transfer, 42, 2621-2627, 1999.
• Lesnic, D., Ingham, D.B. and Pop, I., “Free Convection from a Horizontal Surface in a Porous Medium with Newtonian Heating”, Journal of Porous Media, 3, 227-235, 2000.
• Lesnic, D., Ingham, D.B., Pop, I. and Storr, C., “Free Convection Boundary-Layer Flow above a Nearly Horizontal Surface in a Porous Medium With Newtonian Heating”, Heat and Mass Transfer, 40, 665-672, 2004.
• Loganathan, P. and Ganesan, P., “Eﬀects of Radiation on Flow Past an Impulsively Started InŞnite Vertical Plate with Mass Transfer”, Journal of Engineering Physics and Thermophysics, 79, 65-72, 2006.
• Mebine, P. and Adigio, E.M., “Unsteady Free Convection Flow with Thermal Radiation Past a Vertical Porous Plate with Newtonian Heating”, Turkish Journal of Physics, 33, 109-119, 2009.
• Merkin, J.H., “Natural-Convection Boundary-Layer Flow on a Vertical Surface with Newtonian Heating”, International Journal of Heat and Fluid Flow, 15, 392-398, 1994.
• Muthucumaraswamy, R., Ganesan, P. and Soundalgekar, V.M., “Theoretical Solutions of Flow Past an Impulsively Started Vertical Plate With Variable Temperature and Mass Diﬀusion”, Forschung im Ingenieurwesen – Engineering Research, 66, 147-151, 2000.
• Muthucumaraswamy, R., Ganesan, P. and Soundalgekar, V.M., “Heat and Mass Transfer Eﬀects on Flow Past an Impulsively Started Vertical Plate”, Acta Mechanica, 146, 1-8, 2001.
• Narahari, M. and Dutta, B.K., “Eﬀects of Mass Transfer and Free-Convection Currents on the Flow Near a Moving Vertical Plate with Ramped Wall Temperature”, Paper No. HT2009-88045, Proceedings of the ASME 2009 Heat Transfer Summer Conference, San Francisco, USA, 2009.
• Narahari, M. and Ishak, A., “Radiation Eﬀects on Free Convection Flow Near a Moving Vertical Plate with Newtonian Heating”, Journal of Applied Sciences, 11, 1096-1104, 2011.
• Prasad, V.R., Reddy, N.B. and Muthucumaraswamy, R., “Radiation and Mass Transfer Eﬀects on Two-Dimensional Flow Past an Impulsively Started InŞnite Vertical Plate”, International Journal of Thermal Sciences, 46, 1251-1258, 2007.
• Raptis, A. and Perdikis, C., “Radiation and Free Convection Flow Past a Moving Plate”, International Journal of Applied Mechanical Engineering, 4, 817-821, 1999.
• Salleh, M.Z., Nazar, R. and Pop, I., “Mixed Convection Boundary Layer Flow Over a Horizontal Circular Cylinder with Newtonian Heating”, Heat Mass Transfer, 46, 1411-1418, 2010.
• Salleh, M.Z., Nazar, R. and Pop, I., “Boundary Layer Flow and Heat Transfer Over a Stretching Sheet with Newtonian Heating”, Journal of the Taiwan Institute of Chemical Engineers, 41, 651-655, 2010.
• Salleh, M.Z., Nazar, R., AriŞn, N.M., Pop, I. and Merkin, J.H., “Forced-Convection Heat Transfer Over a Circular Cylinder with Newtonian Heating”, Journal of Engineering Mathematics, 69, 101-110, 2011.
• Siegel, R. and Howell, J.R., Thermal Radiation Heat Transfer, 4th edition, Taylor & Francis, New York, 2002.
• Soundalgekar, V.M., “Eﬀects of Mass Transfer and Free Convection Currents on the Flow Past an Impulsively Started Vertical Plate”, ASME Journal of Applied Mechanics, 46, 757-760, 1979.
• Soundalgekar, V.M., Birajdar, N.S. and Darwhekar, V.K., “Mass-Transfer Eﬀects on the Flow Past an Impulsively Started InŞnite Vertical Plate with Variable Temperature or Constant Heat Flux”, Astrophysics and Space Science, 100, 159-164, 1984.
• Soundalgekar, V.M., Pohanerkar, S.G. and Lahurikar, R.M., “Eﬀects of Mass Transfer and Heat Sources on the Flow Past an Accelerated InŞnite Vertical Plate”, Forschung im Ingenieurwesen – Engineering Research, 58, 63-66, 1992.
Primary Language tr Articles Author: Marneni NARAHARI Author: M. Yunus NAYAN Publication Date : March 1, 2011
 Bibtex @ { tbtkengineering144940, journal = {Turkish Journal of Engineering and Environmental Sciences}, issn = {1300-0160}, eissn = {1303-6157}, address = {}, publisher = {TUBITAK}, year = {2011}, volume = {35}, pages = {367 - 378}, doi = {}, title = {Free convection flow past an impulsively started infinite vertical plate with Newtonian heating in the presence of thermal radiation and mass diffusion}, key = {cite}, author = {NARAHARI, Marneni and NAYAN, M. Yunus} } APA NARAHARI, M , NAYAN, M . (2011). 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 Sciences , 35 (3) , 367-378 . Retrieved from https://dergipark.org.tr/en/pub/tbtkengineering/issue/12125/144940 MLA NARAHARI, M , NAYAN, M . "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 Sciences 35 (2011 ): 367-378 Chicago NARAHARI, M , NAYAN, M . "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 Sciences 35 (2011 ): 367-378 RIS TY - JOUR T1 - Free convection flow past an impulsively started infinite vertical plate with Newtonian heating in the presence of thermal radiation and mass diffusion AU - Marneni NARAHARI , M. Yunus NAYAN Y1 - 2011 PY - 2011 N1 - DO - T2 - Turkish Journal of Engineering and Environmental Sciences JF - Journal JO - JOR SP - 367 EP - 378 VL - 35 IS - 3 SN - 1300-0160-1303-6157 M3 - UR - Y2 - 2020 ER - EndNote %0 Turkish Journal of Engineering and Environmental Sciences Free convection flow past an impulsively started infinite vertical plate with Newtonian heating in the presence of thermal radiation and mass diffusion %A Marneni NARAHARI , M. Yunus NAYAN %T Free convection flow past an impulsively started infinite vertical plate with Newtonian heating in the presence of thermal radiation and mass diffusion %D 2011 %J Turkish Journal of Engineering and Environmental Sciences %P 1300-0160-1303-6157 %V 35 %N 3 %R %U ISNAD NARAHARI, Marneni , NAYAN, M. Yunus . "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 Sciences 35 / 3 (March 2011): 367-378 . AMA NARAHARI M , NAYAN M . 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 Sciences. 2011; 35(3): 367-378. Vancouver NARAHARI M , NAYAN M . 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 Sciences. 2011; 35(3): 378-367.

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