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An Exact Solution of MHD Boundary Layer Flow of Dusty Fluid over a Stretching Surface

Author

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  • Mudassar Jalil
  • Saleem Asghar
  • Shagufta Yasmeen

Abstract

This paper deals with the boundary layer flow of electrically conducting dusty fluid over a stretching surface in the presence of applied magnetic field. The governing partial differential equations of the problem are transformed to nonlinear nondimensional coupled ordinary differential equations using suitable similarity transformations. The problem is now fully specified in terms of characterizing parameters known as fluid particle interaction parameter, magnetic field parameter, and mass concentration of dust particles. An exact analytical solution of the resulting boundary value problem is presented that works for all values of the characterizing parameters. The effects of these parameters on the velocity field and the skin friction coefficient are presented graphically and in the tabular form, respectively. We emphasize that an approximate numerical solution of this problem was available in the literature but no analytical solution was presented before this study.

Suggested Citation

  • Mudassar Jalil & Saleem Asghar & Shagufta Yasmeen, 2017. "An Exact Solution of MHD Boundary Layer Flow of Dusty Fluid over a Stretching Surface," Mathematical Problems in Engineering, Hindawi, vol. 2017, pages 1-5, March.
  • Handle: RePEc:hin:jnlmpe:2307469
    DOI: 10.1155/2017/2307469
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    Cited by:

    1. Quanfu Lou & Bagh Ali & Saif Ur Rehman & Danial Habib & Sohaib Abdal & Nehad Ali Shah & Jae Dong Chung, 2022. "Micropolar Dusty Fluid: Coriolis Force Effects on Dynamics of MHD Rotating Fluid When Lorentz Force Is Significant," Mathematics, MDPI, vol. 10(15), pages 1-13, July.
    2. Nur Syazana Anuar & Norfifah Bachok & Ioan Pop, 2021. "Numerical Computation of Dusty Hybrid Nanofluid Flow and Heat Transfer over a Deformable Sheet with Slip Effect," Mathematics, MDPI, vol. 9(6), pages 1-18, March.
    3. Saif Ur Rehman & Nageen Fatima & Bagh Ali & Muhammad Imran & Liaqat Ali & Nehad Ali Shah & Jae Dong Chung, 2022. "The Casson Dusty Nanofluid: Significance of Darcy–Forchheimer Law, Magnetic Field, and Non-Fourier Heat Flux Model Subject to Stretch Surface," Mathematics, MDPI, vol. 10(16), pages 1-14, August.

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