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GENERAL SOLUTIONS OF CONVECTIVE FLOWS OF MHD CASSON FLUID WITH SLIP AND RADIATIVE HEAT TRANSFER AT THE BOUNDARY

卷 9, 册 1, 2017, pp. 1-11
DOI: 10.1615/ComputThermalScien.2016016971
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摘要

This paper deals with study of analytic solutions of unsteady free convection flow of MHD Casson fluid over an infinite vertical plate when slip condition, radiation, and porous effect are taken into consideration. The appropriate nondimensional variables are introduced, and the resulting governing equations are solved by means of the Laplace transform technique. The closed-form solutions are obtained for temperature and velocity fields. The rate of heat transfer from the plate to the fluid in terms of Nusselt number is also determined. Some known solutions for Newtonian fluid from the literature are obtained as limiting case. Such kinds of solutions can generate a large class of exact solutions corresponding to different fluid motions with technical relevance. Numerical computations were made by using the software Mathcad for the velocity field only. At the end, we see the influence of slip and other flow parameters on the fluid velocity and observed that the large values of the slip coefficient have an effect of reducing fluid velocity and slow fluid flow. This shows how the slip at the wall affects the fluid flow.

对本文的引用
  1. Animasaun I.L., Pop I., Numerical exploration of a non-Newtonian Carreau fluid flow driven by catalytic surface reactions on an upper horizontal surface of a paraboloid of revolution, buoyancy and stretching at the free stream, Alexandria Engineering Journal, 56, 4, 2017. Crossref

  2. Rafique K., Imran M. A., Anwar M. I., Misiran M., Ahmadian A., Energy and mass transport of Casson nanofluid flow over a slanted permeable inclined surface, Journal of Thermal Analysis and Calorimetry, 144, 6, 2021. Crossref

  3. Ahmad Adnan, Ahmad Mushtaq, Nazar Mudassar, Nisa Zaib Un, Shah Nehad Ali, Slippage flow of MHD radiative Maxwell nanofluid with CNTs over a moving flat surface with heat and mass diffusion, Mathematical Sciences, 2021. Crossref

  4. Senapati Santosh Kumar, Dash Sukanta Kumar, Dilute gas‐particle suspension in a diffuser: A two‐fluid modelling approach, The Canadian Journal of Chemical Engineering, 100, S1, 2022. Crossref

  5. Aleem Maryam, Inc Mustafa, Sarwar Shahzad, Asjad Muhammad Imran, Alsubaie A. S. A., Analysis of fractional MHD convective flow with CTNs’ nanoparticles and radiative heat flux in human blood, Frontiers in Energy Research, 10, 2022. Crossref

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