Skip to main content
SpringerLink
Log in

Effects of Slip, Porosity and Chemical Reaction over a Curved Stretching Surface with Mass Transfer

  • Published:
Journal of Engineering Thermophysics Aims and scope

Abstract

This paper presents the effects of wall slip and mass transfer on a viscous fluid over a curved stretching sheet through a Darcian porous medium in the presence of first order chemical reaction. The obtained governing differential equations in a curvilinear coordinate system are transformed into a set of nonlinear ordinary differential equations. The numerical solution for the governing nonlinear boundary value problem is obtained by shooting method with Runge–Kutta integration scheme. The influences of various physical parameters on the fluid velocity and concentration field are shown graphically and analyzed in detail. Numerical results for local skin friction coefficient and local Sherwood number are tabulated for different values of involved parameter.

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

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10

REFERENCES

  1. Sakiadis, B.C., Boundary-Layer Behavior on Continuous Solid Surface, I: Boundary Layer Equations for Two-Dimensional and Axisymmetric Flow, AIChE J., 1961, vol. 7, p. 26.

    Article  Google Scholar 

  2. Crane, L.J., Flow past a Stretching Plate, Z. Angew Math. Mech., 1970, vol. 21, pp. 645–647.

    Article  ADS  Google Scholar 

  3. McLeod, J.B. and Rajagopal, K.R., On the Uniqueness of Flow of a Navier–Stokes Fluid Due to a Stretching Boundary, Arch. Rat. Mech. An., 1987, vol. 98, pp. 385–393.

    Article  ADS  MathSciNet  MATH  Google Scholar 

  4. Gupta, P.S. and Gupta, A.S., Heat and Mass Transfer on a Stretching Sheet with Suction and Blowing, Can. J. Chem. Eng., 1977, vol. 55, pp. 744–746.

    Article  Google Scholar 

  5. Charkrabarti, A. and Gupta, A.S., Hydromagnetic Flow and Heat Transfer over a Stretching Sheet, Quart. Appl. Math., 1979, vol. 37, p. 73.

    Article  MATH  Google Scholar 

  6. R.S.R., Unsteady Mass Transfer in the Boundary Layer on a Continuos Moving Sheet Electrode, J. Electrochem. Soc., 1978, vol. 125, pp. 865–869.

  7. Chen, C.K. and Char, M.I., Heat Transfer of a Continuous Stretching Surface with Suction and Blowing, J. Math. An. Appl., 1988, vol. 13, pp. 568–580.

    Article  MathSciNet  MATH  Google Scholar 

  8. Andresson, H.I. Hansen, O.R., and Olmedal, B., Diffusion of a Chemically Reactive Species from a Stretching Sheet, Int. J. Heat Mass Transfer, 1994, vol. 37, pp. 659–664.

    Article  Google Scholar 

  9. Ali, M.E., On Thermal Boundary Layer on a Power Law Stretched Surface with Suction or Injection, Int. J. Heat Fluid Flow, 1995, vol. 16, pp. 280–290.

    Article  Google Scholar 

  10. Takhar, H.S., Chainkha, A.J., and Nath, G., Flow and Mass Transfer on a Stretching Sheet with a Magnetic Field and Chemically Reactive Species, Int. J. Eng. Sci., 2000, vol. 38, pp. 1303–1314.

    Article  MATH  Google Scholar 

  11. Akyildiz, F.T, Bellout, H., and Vajravelu, K., Diffusion of Chemically Reactive Species in a Porous Medium over a Stretching Sheet, J. Math. An. Appl., 2006, vol. 320, pp. 322–339.

    Article  ADS  MathSciNet  MATH  Google Scholar 

  12. Vajravelu, K., Flow and Heat Transfer in a Saturated Porous Medium over a Stretching Surface, J. Appl. Math. Mech. (ZAMM), 1994, vol. 74, pp. 605–614.

    Article  MATH  Google Scholar 

  13. Wang, C.Y., Flow Due to a Stretching Boundary with Partial Slip: An Exact Solutions of the Navier–Stokes Equations, Chem. Eng. Sci., 2002, vol. 57, pp. 3745–3747.

    Article  ADS  Google Scholar 

  14. Kandasamy, R., Periasamy, K., and Sivagnana Prabhu, K.K., Chemical Reaction Heat and Mass Transfer on MHD Flow over a Vertical Stretching Surface with Heat Source and Thermal Stratification Effects, Int. J. Heat Mass Transfer, 2005, vol. 48, pp. 4557–4561.

    Article  MATH  Google Scholar 

  15. Pal, D. and Mondal, H., MHD Non-Darcian Mixed Convection Heat and Mass Transfer over a Non-Linear Stretching Sheet with Soret–Dufour Effects and Chemical Reaction, Int. Comm. Heat Mass Transfer, 2011, vol. 38, pp. 463–467.

    Article  Google Scholar 

  16. Pal, D. and Mondal, H., Influence of Chemical Reaction and Thermal Radiation on Mixed Convection Heat and Mass Transfer over a Stretching Sheet in Darcian Porous Medium with Soret and Dufour Effects, Energ. Conv. Mang., 2012, vol. 6, pp. 102–108.

    Article  Google Scholar 

  17. Bhattacharyya, K., Dual Solutions in Boundary Layer Stagnation-Point Flow and Mass Transfer with Chemical Reaction past a Stretching/Shrinking Sheet, Int. Comm. Heat Mass Transfer, 2011, vol. 38, pp. 917–922.

    Article  Google Scholar 

  18. Subhashini, S.V., Sumathi,R., and Pop, I., Dual Solutions in a Double-Diffusive Convection near Stagnation Point Region over a Stretching Vertical Surface, Int. J. Heat Mass Transfer, 2012, vol. 55, pp. 2524–2530.

    Article  Google Scholar 

  19. Kameswaran, P.K., Narayana, M., Sibanda, P., and Murthy, P.V.S.N., Hydromagnetic Nanofluid Flow Due to a Stretching or Shrinking Sheet with Viscous Dissipation and Chemical Reaction Effects, Int. J. Heat Mass Transfer, 2012, vol. 55, pp. 7587–7595.

    Article  Google Scholar 

  20. Sajid, M., Ali, N., Javed, T., and Abbas, Z., Stretching a Curved Surface in a Viscous Fluid, Chin. Phy. Lett., 2010, vol. 27, p. 024703.

    Article  ADS  Google Scholar 

  21. Sajid, M., Ali, N., Javed, T., and Abbas, Z., Flow of a Micropolar Fluid over a Curved Stretching Surface, J. Eng. Phys. Thermophys., 2011, vol. 84, pp. 798–804.

    Article  Google Scholar 

  22. Sajid, M. and Iqbal, S.A., Stretching a Curved Surface through Porous Medium in a Micropolar Fluid with Partial Slip, Int. J. Mech. Sys. Eng., 2011, vol. 1, pp. 1–7.

    Google Scholar 

  23. Naveed, M., Abbas, Z., and Sajid, M., Nonlinear Radiative Heat Transfer in Blasius and Sakiadis Flows over a Curved Surface, Int. J. Therm. Phys., 2017, vol. 38, p. 14.

    Article  ADS  Google Scholar 

  24. Naveed, M., Abbas, Z., and Sajid, M., Thermophoresis and Brownian Effects on the Blasius Flow of a Nanfluid Due to a Curved Surface with Thermal Radiation, Eur. Phys. J. Plus, 2016, vol. 131, p. 214.

    Article  ADS  Google Scholar 

  25. Na, T.Y., Computational Methods in Engineering Boundary Value Problems, New York: Academic Press, 1979.

    MATH  Google Scholar 

  26. Wang, C.Y., Analysis of Viscous Flow Due to a Stretching Sheet with Surface Slip and Suction, Nonlin. An. Re. World. Appl., 2009, vol. 10, pp. 375–380.

    MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Division of Science and Technology, University of Education, Lahore, Pakistan

    M. Naveed

  2. Department of Mathematics, The Islamia University of Bahawalpur, Bahawalpur, Pakistan

    Z. Abbas

  3. Department of Mathematics and Statistics, International Islamic University, Islamabad, Pakistan

    M. Sajid

Authors
  1. M. Naveed
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Z. Abbas
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. M. Sajid
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to M. Naveed.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Naveed, M., Abbas, Z. & Sajid, M. Effects of Slip, Porosity and Chemical Reaction over a Curved Stretching Surface with Mass Transfer. J. Engin. Thermophys. 32, 89–99 (2023). https://doi.org/10.1134/S1810232823010083

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1810232823010083

Search

Navigation