Effect of temperature on the MHD stagnation-point flow past an isothermal plate for a Boussinesquian Newtonian and micropolar fluid

Giulia Giantesio, Alessandra Borrelli, Maria Cristina Patria

Risultato della ricerca: Contributo in rivistaArticolo in rivista

Abstract

Purpose: This paper aims to analyze the steady two-dimensional stagnation-point flow of an electrically conducting Newtonian or micropolar fluid when the obstacle is uniformly heated. Design/methodology/approach: The governing boundary layer equations are transformed into a system of ordinary differential equations using appropriate similarity transformations. Some analytical considerations about existence and uniqueness of the solution are obtained. The system is then solved numerically using the bvp4c function in MATLAB. Findings: If the temperature of the obstacle Tw coincides with the environment temperature T0, then the motion reduces to the usual orthogonal stagnation-point flow; if Tw = T0, then it is necessary to include in the similarity function describing the velocity an oblique part due to the temperature. Also, the presence of a uniform external magnetic field orthogonal to the obstacle is examined. In all cases, the motion is reduced to a system of nonlinear ordinary differential equations with boundary conditions, whose solution is discussed numerically when the Prandtl and the Hartmann number varies. Originality/value: The present results are original and new for the problem of magnetohydrodynamic mixed convection in the plane stagnation-point flow of a Newtonian or a micropolar fluid over a vertical flat plate. At infinity, the motion approaches the orthogonal stagnation-point flow of an inviscid fluid; the effect of an uniform external magnetic field is considered, and the obstacle has a uniform temperature.
Lingua originaleEnglish
pagine (da-a)1315-1334
Numero di pagine20
RivistaINTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW
Volume28
DOI
Stato di pubblicazionePubblicato - 2018

Keywords

  • 2D stagnation-point flow
  • Applied Mathematics
  • Computer Science Applications1707 Computer Vision and Pattern Recognition
  • MHD flow
  • Mechanical Engineering
  • Mechanics of Materials
  • Micropolar fluids
  • Newtonian fluids

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