A Bioconvection Model for Squeezing Flow between Parallel Plates Containing Gyrotactic Microorganisms with Impact of Thermal Radiation and Heat Generation/Absorption
Syed Asif Hussain
Department of Mathematics, Islamia College Peshawar, 25000, KP, Pakistan and CECOS University of IT & Emerging Science Peshawar, 25000, KP, Pakistan.
Sher Muhammad *
Department of Mathematics, Islamia College Peshawar, 25000, KP, Pakistan and CECOS University of IT & Emerging Science Peshawar, 25000, KP, Pakistan.
Gohar Ali
Department of Mathematics, Islamia College Peshawar, 25000, KP, Pakistan.
Syed Inayat Ali Shah
Department of Mathematics, Islamia College Peshawar, 25000, KP, Pakistan.
Mohammad Ishaq
Department of Mathematics, Islamia College Peshawar, 25000, KP, Pakistan.
Zahir Shah
Department of Mathematics, Abdul Wali Khan University, Mardan, KP, Pakistan.
Hameed Khan
Department of Physics, Hazara University Mansehra, Hazara, 21300, KP, Pakistan.
Mohammad Tahir
Department of Mathematics, Islamia College Peshawar, 25000, KP, Pakistan.
Muhammad Naeem
CECOS University of IT & Emerging Science Peshawar, 25000, KP, Pakistan.
*Author to whom correspondence should be addressed.
Abstract
The aim of present paper is to investigate the bioconvection squeezing nanofluid flow between two parallel plates’ channels. One of the plates is stretched and the other is fixed. In this study water is considered as a base fluid because microorganisms can survive only in water. The significant influences of thermophoresis and Brownian motion have also been taken in nanofluid model. A highly nonlinear and coupled system of partial differential equations presenting the model of bioconvection flow between parallel plates is reduced to a nonlinear and coupled system (non-dimensional bioconvection flow model) of ordinary differential equations with the help of feasible non-dimensional variables. The acquired nonlinear system has been solved via homotopy analysis method (HAM). The convergence of the method has been shown numerically. Also, influence of various parameters has been discussed for the non-dimensional velocity, temperature, concentration and density of the motile microorganisms both for suction and injection cases. The variation of the Skin friction, Nusselt number, Sherwood number and their effects on the velocity, concentration, temperature and the density motile microorganism profiles are examined. Furthermore, for comprehension the physical presentation of the embedded parameters, such as unsteady squeezing parameter, Thermal radiation parameter, Peclet number, Thermophoresis parameter, Levis number, Prandtl number, Schmidt number and Brownian motion are plotted and discussed graphically. At the end, we make some concluding remarks in the light of this article.
Keywords: Thermal radiation, gyrotactic microorganisms, squeezing flow, nanofluid, parallel plates, HAM.