Vol. 24 No. 3 (2025): Mapana Journal of Sciences
Research Articles

Thermal convection of a Oldroyd-B nanofluid with magnetic effect: Linear and weakly nonlinear analyses

  • Abhishek Kumar,
  • Mala
Abhishek Kumar
Department of Mathematics B.R.A. Bihar University, Muzaffarpur, Bihar, India
Mala
Department of Mathematics, MDDM College, B.R.A. Bihar University, Muzaffarpur, Bihar, India

Published 2025-09-29

Keywords

  • Porous media,
  • Hydrodynamic stability Thermal convection

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Abstract

Onset of convection in a horizontal layer with Oldroyd-B nanofluid investigated. The normal mode technique has been employed to work out the non dimensional governing equations and this leads to eigenvalue problem. The analytical expressions of stationary and oscillatory Rayleigh numbers are obtained. Critical values of Rayleigh number for
the prescribed values of other parameters are obtained. Amplitude equation is derived in weakly nonlinear analysis.

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