On oscillatory rotating convection of a couple-stress fluid with chemical reaction

Document Type : Article


1 Department of Mathematics, Osmania University, Telangana, India, 500007

2 Department of Mathematics, University college of Engineering, Osmania University, Telangana, India, 500007.

3 Department of Applied Sciences, National Institute of Technology Goa, Goa, India, 403401

4 Area of Decision Sciences, Indian Institute of Management, Sirmaur, India

5 Department of Mathematics, LMNO, CNRS-Universiti de Caen-Normandie, Campus II, Science 3, 14032 Caen Cedex, France


Newtonian fluids are unable to describe fluid flow behavior in many physical problems because the fluid is non-Newtonian in nature. So, in this article, analytical research is done into the impact of chemical reactions on the onset of rotating convection of a couple-stress fluid. Through the use of linear stability theory, the equations for both stationary and oscillatory Rayleigh numbers are produced. The couple-stress fluid parameter, the solutal Rayleigh number, the Damkohler number, the Lewis number, and the Prandtl number are all graphically represented as their effects at the onset of convection. The system is stabilized by the Lewis and Taylor numbers, while oscillatory and stationary convection are affected differently by the Damkohler number. When the Taylor number is less than $910.331$ and convection is oscillatory otherwise, the stationary instability threshold is reached. When the Damkohler number is less than $1.76455$, oscillatory instability is present; otherwise, stationary convection predominates.


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