Title: Thermal convection of a Oldroyd-B nanofluid with coriolis effect

Authors: Abhishek Kumar; Mala

Addresses: Department of Mathematics, MDDM College, B.R.A Bihar University, Muzaffarpur, Bihar, 84200, India ' Department of Mathematics, MDDM College, B.R.A Bihar University, Muzaffarpur, Bihar, 84200, India

Abstract: The investigation focuses on the onset of convection in a horizontal layer with the inclusion of Oldroyd-B nanofluid. The non-dimensional governing equations is solved using the normal mode technique, resulting in an eigenvalue problem. Analytical expression for Rayleigh number is obtained. Critical Rayleigh number values are determined for specific parameter settings. The influence of dimensionless parameters such as the Lewis number (Le), Prandtl number (Pr), Modified particle density increment (N_b), modified diffusivity ratio (N_a), Taylor number (Ta), Nanoparticle Rayleigh number (Rn), and the relaxation times of the fluid λ₁ and λ₂ on the critical Rayleigh number is analysed. The results of the study indicate that the Taylor number (Ta) acts as a stabilising factor for the system, while the modified diffusivity ratio (N_a) and Nanoparticle Rayleigh number (Rn) function as destabilising factors. Moreover, the critical Rayleigh number exhibits a non-monotonic dependency on the coefficients λ₁and λ₂.

Keywords: Oldroyd-B nanofluid; linear stability analysis; thermal convection.

DOI: 10.1504/IJCSM.2026.151972

International Journal of Computing Science and Mathematics, 2026 Vol.23 No.1, pp.28 - 38

Received: 03 Apr 2024
Accepted: 04 Nov 2024
Published online: 28 Feb 2026 *

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