Skip to main content
SpringerLink
Log in

Heat and mass transfer effects on flow past an impulsively started vertical plate

  • Original Papers
  • Published:
Acta Mechanica Aims and scope Submit manuscript

Summary

An exact solution to the problem of lfow past an impulsively started infinite vertical plate in the presence of uniform heat and mass flux at the plate is presented by the Laplace-transform technique. The velocity, the temperature and the concentration profiles are shown graphically. The rate of heat transfer, the skin-friction, and the Sherwood number are also shown on graphs. The effect of different parameters like Grashof number, mass Grashof number, Prandtl number, and Schmidt number are discussed.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Abbreviations

C′ :

species concentration near the plate

C′ ∞ :

species concentration in the fluid far away from the plate

C :

dimensionless concentration

C p :

specific heat at constant pressure

D :

mass diffusion coefficient

g :

acceleration due to gravity

Gr:

thermal Grashof number

Gc:

mass Grashof number

j″ :

mass flux per unit area at the plate

K :

thermal conductivity of the fluid

Nu:

Nusselt number

Pr:

Prandtl number

q :

heat flux per unit area at the plate

Sc:

Schmidt number

t′ :

time

t :

dimensionless time

T′ :

temperature of the fluid near the plate

T′ ∞ :

temperature of the fluid far away from the plate

T′ w :

temperature of the plate

u′ :

velocity of the fluid in thex′-direction

u 0 :

velocity of the plate

u :

dimensionless velocity

x′ :

coordinate axis along the plate

y′ :

coordinate axis normal to the plate

y :

dimensionless coordinate axis normal to the plate

β:

volumetric coefficient of thermal expansion

β* :

volumetric coefficient of expansion with concentration

μ:

coefficient of viscosity

ν:

kinematic viscosity

ϱ:

density

τ′:

skin-friction

τ:

dimensionless skin-friction

θ:

dimensionless temperature

er fc :

complementary error function

η:

similarity parameter

References

  1. Stokes, G. G.: On the effect of internal friction of fluids on the motion of pendulums. Cambridge Phil. Trans.IX, 8–106 (1851).

    Google Scholar 

  2. Soundalgekar, V. M.: Free convection effects on the Stokes problem for an infinite vertical plate. ASME J. Heat Transfer99, 499–501 (1977).

    Google Scholar 

  3. Soundalgekar, V. M.: Effects of mass transfer and free convection on the flow past an impulsively started vertical plate. ASME J. Appl. Mech.46, 757–760 (1979).

    Google Scholar 

  4. Das, U. N., Ray, S. N., Soundalgekar, V. M.: Mass transfer effects on flow past an impulsively stated infinite vertical plate with constant mass flux-and exact solution. Heat and Mass Transfer31, 163–167 (1996).

    Google Scholar 

  5. Gebhart, B., Pera, L.: The nature of vertical natural convection flows resulting from the combined buoyancy effects of thermal and mass diffusion. Int. J. Heat Mass Transfer14, 2025–2050 (1971).

    Google Scholar 

Download references

Author information

Author notes

  1. R. Muthucumaraswamy

    Present address: Department of Mathematics and Computer Applications, Sri Venkateswara College of Engineering, 602 105, Sriperumbudur

  2. P. Ganesan

    Present address: Department of Mathematics, Anna University, 600 025, Chennai

  3. V. M. Soundalgekar

    Present address: Brindavan Society, 400 601, Thane, Mumbai, India

Authors and Affiliations

    Authors
    1. R. Muthucumaraswamy
      View author publications

      You can also search for this author in PubMed Google Scholar

    2. P. Ganesan
      View author publications

      You can also search for this author in PubMed Google Scholar

    3. V. M. Soundalgekar
      View author publications

      You can also search for this author in PubMed Google Scholar

    Rights and permissions

    Reprints and permissions

    About this article

    Cite this article

    Muthucumaraswamy, R., Ganesan, P. & Soundalgekar, V.M. Heat and mass transfer effects on flow past an impulsively started vertical plate. Acta Mechanica 146, 1–8 (2001). https://doi.org/10.1007/BF01178790

    Download citation

    • Received:

    • Revised:

    • Issue Date:

    • DOI: https://doi.org/10.1007/BF01178790

    Keywords

    Search

    Navigation