Journal of Applied Mathematics

An Exact Analysis of Heat and Mass Transfer Past a Vertical Plate with Newtonian Heating

Abid Hussanan, Ilyas Khan, and Sharidan Shafie

Full-text: Open access

Abstract

An exact analysis of heat and mass transfer past an oscillating vertical plate with Newtonian heating is presented. Equations are modelled and solved for velocity, temperature, and concentration using Laplace transforms. The obtained solutions satisfy governing equations and conditions. Expressions of skin friction, Nusselt number, and Sherwood number are obtained and presented in tabular forms. The results show that increasing the Newtonian heating parameter leads to increase velocity and temperature distributions whereas skin friction decreases and rate of heat transfer increases.

Article information

Source
J. Appl. Math., Volume 2013 (2013), Article ID 434571, 9 pages.

Dates
First available in Project Euclid: 14 March 2014

Permanent link to this document
https://projecteuclid.org/euclid.jam/1394808017

Digital Object Identifier
doi:10.1155/2013/434571

Mathematical Reviews number (MathSciNet)
MR3064958

Zentralblatt MATH identifier
1271.80003

Citation

Hussanan, Abid; Khan, Ilyas; Shafie, Sharidan. An Exact Analysis of Heat and Mass Transfer Past a Vertical Plate with Newtonian Heating. J. Appl. Math. 2013 (2013), Article ID 434571, 9 pages. doi:10.1155/2013/434571. https://projecteuclid.org/euclid.jam/1394808017


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References

  • P. Chandrakala, “Radiation effects on flow past an impulsively started vertical oscillating plate with uniform heat flux,” International Journal of Dynamics of Fluids, vol. 6, pp. 209–215, 2010.
  • R. K. Deka and S. K. Das, “Radiation effects on free convection flow near a vertical plate with ramped wall temperature,” Engineering, vol. 3, pp. 1197–1206, 2011.
  • P. Chandran, N. C. Sacheti, and A. K. Singh, “Natural convection near a vertical plate with ramped wall temperature,” Heat and Mass Transfer, vol. 41, no. 5, pp. 459–464, 2005.
  • V. M. Soundalgekar, R. M. Lahurikar, S. G. Pohanerkar, and N. S. Birajdar, “Effects of mass transfer on the flow past an oscillating infinite vertical plate with constant heat flux,” Thermophysics and AeroMechanics, vol. 1, pp. 119–124, 1994.
  • V. M. Soundalgekar, R. M. Lahurikar, S. G. Pohanerkar, and N. S. Birajdar, “Mass transfer effects on flow past a vertical oscillating plate with variable temperature,” Heat and Mass Transfer, vol. 30, no. 5, pp. 309–312, 1995.
  • G. Pathak, C. H. Maheshwari, and S. P. Gupta, “Effects of radiation on unsteady free convection flow bounded by an oscillating plate with variable temperature,” International Journal of Applied Mechanics and Engineering, vol. 11, pp. 371–382, 2006.
  • R. Muthucumaraswamy, “Natural convection on flow past an impulsively started vertical plate with variable surface heat flux,” Far East Journal of Applied Mathematics, vol. 14, no. 1, pp. 99–119, 2004.
  • J. H. Merkin, “Natural-convection boundary-layer flow on a vertical surface with Newtonian heating,” International Journal of Heat and Fluid Flow, vol. 15, no. 5, pp. 392–398, 1994.
  • D. Lesnic, D. B. Ingham, and I. Pop, “Free convection boundary-layer flow along a vertical surface in a porous medium with Newtonian heating,” International Journal of Heat and Mass Transfer, vol. 42, no. 14, pp. 2621–2627, 1999.
  • D. Lesnic, D. B. Ingham, and I. Pop, “Free convection from a horizontal surface in a porous medium with newtonian heating,” Journal of Porous Media, vol. 3, no. 3, pp. 227–235, 2000.
  • D. Lesnic, D. B. Ingham, I. Pop, and C. Storr, “Free convection boundary-layer flow above a nearly horizontal surface in a porous medium with newtonian heating,” Heat and Mass Transfer, vol. 40, no. 9, pp. 665–672, 2004.
  • M. Z. Salleh, R. Nazar, and I. Pop, “Boundary layer flow and heat transfer over a stretching sheet with Newtonian heating,” Journal of the Taiwan Institute of Chemical Engineers, vol. 41, no. 6, pp. 651–655, 2010.
  • M. Z. Salleh, R. Nazar, and I. Pop, “Numerical solutions of free convection boundary layer flow on a solid sphere with Newtonian heating in a micropolar fluid,” Meccanica, vol. 47, pp. 1261–1269, 2012.
  • M. Z. Salleh, R. Nazar, N. M. Arifin, I. Pop, and J. H. Merkin, “Forced-convection heat transfer over a circular cylinder with Newtonian heating,” Journal of Engineering Mathematics, vol. 69, no. 1, pp. 101–110, 2011.
  • S. Das, C. Mandal, and R. N. Jana, “Radiation effects on unsteady free convection flow past a vertical plate with Newtonian heating,” International Journal of Computer Applications, vol. 41, pp. 36–41, 2012.
  • A. R. M. Kasim, N. F. Mohammad, Aurangzaib, and S. Sharidan, “Natural convection boundary layer flow of a viscoelastic fluid on solid sphere with Newtonian heating,” World Academy of Science, Engineering and Technology, vol. 64, pp. 628–633, 2012.
  • R. C. Chaudhary and P. Jain, “Unsteady free convection boundary layer flow past an impulsively started vertical surface with Newtonian heating,” Romanian Journal of Physics, vol. 51, pp. 911–925, 2006.
  • P. Mebine and E. M. Adigio, “Unsteady free convection flow with thermal radiation past a vertical porous plate with newtonian heating,” Turkish Journal of Physics, vol. 33, no. 2, pp. 109–119, 2009.
  • M. Narahari and A. Ishak, “Radiation effects on free convection flow near a moving vertical plate with newtonian heating,” Journal of Applied Sciences, vol. 11, no. 7, pp. 1096–1104, 2011.
  • M. Narahari and M. Yunus Nayan, “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, vol. 35, no. 3, pp. 187–198, 2011.
  • V. Rajesh, “Effects of mass transfer on flow past an impulsively started infinite vertical plate with Newtonian heating and chemical reaction,” Journal of Engineering Physics and Thermophysics, vol. 85, no. 1, pp. 221–228, 2012.
  • P. Chandrakala and P. N. Bhaskar, “Radiation effects on oscillating vertical plate with uniform heat flux and mass diffusion,” International Journal of Fluids Engineering, vol. 4, pp. 1–11, 2012.
  • R. Muthucumaraswamy, P. Chandrakala, and S. A. Raj, “Radiative heat and mass transfer effects on moving isothermal vertical plate in the presence of chemical reaction,” International Journal of Applied Mechanics and Engineering, vol. 11, no. 3, pp. 639–646, 2006.
  • R. Muthucumaraswamy and A. Vijayalakshmi, “Effects of heat and mass transfer on flow past an oscillating vertical plate with variable temperature,” International Journal of Applied Mathematics and Mechanics, vol. 4, no. 1, pp. 59–65, 2008.
  • V. R. Prasad, N. B. Reddy, and R. Muthucumaraswamy, “Radiation and mass transfer effects on two-dimensional flow past an impulsively started infinite vertical plate,” International Journal of Thermal Sciences, vol. 46, no. 12, pp. 1251–1258, 2007.
  • R. Siegel and J. R. Howell, Thermal Radiation Heat Transfer, Taylor & Francis, New York, NY, USA, 4th edition, 2002.
  • E. Magyari and A. Pantokratoras, “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, vol. 38, no. 5, pp. 554–556, 2011.
  • R. A. Mohamed, S. M. Abo-Dahab, and T. A. Nofal, “Thermal radiation and MHD effects on free convective flow of a polar fluid through a porous medium in the presence of internal heat generation and chemical reaction,” Mathematical Problems in Engineering, vol. 2010, Article ID 804719, 2010.