Total views : 119

Double Diffusive Natural Convective Flow over a Vertical Plate with Chemical Reaction


  • Chennai Higher Secondary School, Chennai – 600081, Tamil Nadu, India
  • Department of Mathematics, Dr. Ambedkar Government Arts College, Chennai – 600039, Tamil Nadu, India


Chemically reactive fluid flow over a vertical plate placed in a thermally stratified medium is presented here. A parametric study illustrating the influence of Prandtl number, Schmidt number, buoyancy ratio parameter, stratification parameter and chemical reaction parameter on the velocity, temperature, concentration profiles are studied. The chemical reaction parameter increases, the velocity is found to decreases. From the numerical value, we conclude that the variation between the steady state and temporal maximum increases gradually as S increases.


Chemical Reaction, Nusselt Number, Prandtl Number, Thermal Stratification, Vertical Plate

Full Text:

 |  (PDF views: 97)


  • Pohlhausen E. Der warmeaustaush zwischen festenk orpern and flussing keitenmitkleiner reibung and kleiner warmeleitung. ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik. 1921; 1(2):115–21. Crossref
  • Ostrach S. An analysis of laminar free convection flow and heat transfer about a flat plate parallel to the direction of the generating body force. National Advisory Committee for Aeronautics (NACA) Report. 1953 Jan 1; 1111:63–79.
  • Siegel R. Transient free convection from a vertical flat plate. Transactions of the ASME. 1958; 30:347–359.
  • Gebhart B. Transient natural convection from vertical elements. Journal of Heat Transfer. 1961; 83(1):61–70.
  • Gebhart B, Pera L. The nature of vertical natural convection flows resulting from the combined buoyancy effects of thermal and mass diffusion. International Journal of Heat and Mass Transfer. 1971 Dec; 14(12):2025–50. Crossref
  • Callahan GD, Marner WJ. Transient free convection with mass transfer on an isothermal vertical flat plate. International Journal of Heat and Mass Transfer. 1976 Feb; 19(2):165–74.Crossref
  • Soundalgekar VM, Ganesan P. Finite difference analysis of transient free convection with mass transfer on an isothermal vertical plate. International Journal Engineering Science. 1981; 19(6):757–70. Crossref
  • Chambre PL, Young JD. On the diffusion of a chemically reactive species in laminar boundary layer flow. Physics of Fluids. 1958; 1(1):48–54. Crossref
  • Apelblat A. Mass transfer with a chemical reaction of the first order: analytical solutions. The Chemical Engineering Journal. 1980; 19(1):19–37. Crossref
  • Das UN, Deka RK, Soundalgekar VM. Effects of mass transfer on flow past an impulsive started vertical plate with constant heat flux and chemical reaction. Forschung im Ingenieurwesen. 1994 Oct; 60(10):284–7.
  • Das UN, Deka RK, Soundalgekar VM. Effects of mass transfer on flow past an impulsively started vertical plate with chemical reaction. Bull, GUMA; 1998. p.13–20.
  • Devi SPA, Kandasamy R. Effects of chemical reaction, heat and mass transfer on non- linear MHD
  • flow over an accelerating surface with heat source and thermal stratification in the presence of suction or injection. Communication in Numerical Methods in Engineering. 2003 Jul; 19(7):513–20. Crossref
  • Loganathan P, Kulandaivel T, Muthucumaraswamy R. Chemical reaction effects on moving infinite vertical plate with uniform heat flux and variable mass diffusion.Forschung-Im Ingenieurwesen. 2003 Dec; 68(2):101–4. Crossref
  • Muthucumaraswamy, Shankar MR. First order chemical reaction and thermal radiation effects on unsteady flow past an accelerated isothermal infinite vertical plate. Indian Journal of Science and Technology. 2011 May; 4(5):573–7.
  • Cheeswwright R. Natural convection from a plane vertical surface in non-isothermal surroundings. International Journal of Heat and Mass Transfer. 1967 Dec; 10(12):1847–59. Crossref
  • Chen CC, Eichhorn R. Natural convection from a vertical surface to a thermally stratified fluid.Journal of Heat Transfer. 1976 Aug 1; 98(3):446–51. Crossref
  • Srinivasan J, Angirasa D. Numerically study of double-diffusive free convection from a vertical surface. International Journal of Heat and Mass Transfer. 1988 Oct; 31(10):2033–8. Crossref
  • Loganathan P, Ganesan P. Numerical study of double-diffusive free convection flow past a moving vertical cylinder. Journal of Engineering Physics and Thermophysics. 2006 Jan; 79(1):73–8. Crossref
  • Carnahan B, Luther HA, Wilkes JO. Applied numerical methods. John Wiley and Sons, New York; 1969.


  • There are currently no refbacks.

Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.