Skip to main content
Log in

3D couette flow of dusty fluid with transpiration cooling

  • Published:
Journal of Zhejiang University-SCIENCE A Aims and scope Submit manuscript

Abstract

The couette dusty flow between two horizontal parallel porous flat plates with transverse sinusoidal injection of the dusty fluid at the stationary plate and its corresponding removal by constant suction through the plate in uniform motion was analyzed. Due to this type of injection velocity the dusty flow becomes 3D. Perturbation method is used to obtain the expressions for the velocity and temperature fields of both the fluid and dust. It was found that the velocity profiles of both the fluid and dust in the main flow direction decrease with the increase of the mass concentration of the dust particles, and those in cross flow direction increase with an increase in the mass concentration of the dust particles up to the middle of the channel and thereafter decrease with increase in mass concentration of the dust particles. The skin friction components T x and T z in the main flow and transverse directions respectively increase with an increase in the mass concentration of the dust particles (or) injection parameter. The heat transfer coefficient decreases with the increase of the injection parameter and increases with the increase in the mass concentration of the dust particles.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Ahmed, N., Sharma, D., 1997. Three-dimensional free convection flow and heat transfer through a porous medium. Indian J. Pure Appl. Math., 26(10):1345–1353.

    MATH  Google Scholar 

  • Ahmed, S., Ahmed, N., 2004. Two dimensional magneto hydrodynamic oscillatory flow along a uniformly moving infinite vertical porous plate bounded by a porous medium. Indian J. Pure Appl. Math., 35(12):1309–1319.

    MATH  Google Scholar 

  • Dalal, D., 1992. Generalized couette flow of a dusty gas. Ind. Journal of Tech., 30:260–264.

    MATH  Google Scholar 

  • Debnath, L., Ghosh, A.K., 1988. On unsteady hydromagnetic flows of a dusty fluid between two oscillating plates. Appl. Sci. Res., 45(4):353–365. [doi:10.1007/BF00457067]

    Article  MathSciNet  Google Scholar 

  • Eckert, E.R., 1958. Heat and Mass Transfer. McGraw Hill, New York.

    Google Scholar 

  • Gersten, K., Gross, J.F., 1974. Flow and heat transfer along a plane wall with periodic suction. J. Appl. Math. Phys. (ZAMP), 25(3):399–408. [doi:10.1007/BF01594956]

    Article  MATH  Google Scholar 

  • Miller, M., 1966. Plane parallel flow of a dust gas. Mathematika, 13:97–109.

    Article  MATH  Google Scholar 

  • Nag, S.K., Jana, R.N., Datta, N., 1979. Couette flow of a dusty gas. Acta Mechanica, 33(3):179–187. [doi:10.1007/BF01175914]

    Article  MATH  Google Scholar 

  • Raptis, A., 1983. Unsteady free convective flow through a porous medium. Int. J. Engng. Sci., 21(4):345–348. [doi:10.1016/0020-7225(83)90118-0]

    Article  MathSciNet  MATH  Google Scholar 

  • Raptis, A., Perdikis, C.P., 1985. Osillatory flow through a porous medium by the presence of free convective flow. Int. J. Engng. Sci., 23(1):51–55. [doi:10.1016/0020-7225(85)90015-1]

    Article  MATH  Google Scholar 

  • Saffman, P.G., 1962. On the stability of laminar flow of a dusty gas. J. Fluid Mech., 13(1):120–128. [doi:10.1017/S0022112062000555]

    Article  MathSciNet  MATH  Google Scholar 

  • Singh, K.D., 1990. Hydromagnetic effects on the 3D flow past a porous plate. J. Appl. Math. Phys. (ZAMP), 41(3):441–446. [doi:10.1007/BF00959991]

    Article  MATH  Google Scholar 

  • Singh, K.D., 1991. 3D MHD oscillatory flow past a porous plate. J. Appl. Math. Mech. (ZAMM), 71:192–195.

    Google Scholar 

  • Singh, K.D., 1993. 3D viscous flow and heat transfer along a porous plate. J. Appl. Math. Mech. (ZAMM), 73:58–61.

    Article  MATH  Google Scholar 

  • Singh, K.D., 1999. Three dimensional couette flow with transpiration cooling. J. Appl. Math. Phys. (ZAMP), 50(4):661–668. [doi:10.1007/s000330050171]

    Article  MATH  Google Scholar 

  • Singh, K.D., Verma, G.N., 1995. Three-dimensional oscillatory flow through a porous medium with periodic permeability. J. Appl. Math. Mech. (ZAMM), 75(8):599–604.

    Article  MathSciNet  MATH  Google Scholar 

  • Singh, P., Sharma, V.P., Misra, U.N., 1978a. 3D fluctuating flow and heat transfer along a plate with suction. Int. J. Heat Mass and Transfer, 21(8):1117–1123. [doi:10.1016/0017-9310(78)90110-2]

    Article  MATH  Google Scholar 

  • Singh, P., Sharma, V.P., Misra, U.N., 1978b. 3D free convection flow and heat transfer along a porous vertical wall. Appl. Sci. Res., 34(1):105–115. [doi:10.1007/BF00389279]

    Article  MathSciNet  MATH  Google Scholar 

  • Zung, L.B., 1969. Flow induced in fluid particle suspension by an infinite rotating disk. Physics of Fluids, 12(1):18–23. [doi:10.1063/1.1692261]

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Govindarajan, A., Ramamurthy, V. & Sundarammal, K. 3D couette flow of dusty fluid with transpiration cooling. J. Zhejiang Univ. - Sci. A 8, 313–322 (2007). https://doi.org/10.1631/jzus.2007.A0313

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1631/jzus.2007.A0313

Key words

CLC number

Navigation