Numerical study of bio-convection flow of magneto-cross nanofluid containing gyrotactic microorganisms with activation energy

Scientific Reports - Tập 11 Số 1
Qiu‐Hong Shi1, Aamir Hamid2, M. Ijaz Khan3, R. Naveen Kumar4, R. J. Punith Gowda4, B. C. Prasannakumara4, Nehad Ali Shah5, Sami Ullah Khan6, Jae Dong Chung5
1Department of Mathematics, Huzhou University, Huzhou, 313000, People's Republic of China
2Department of Mathematics, Quaid-I-Azam University, Islamabad 44000, Pakistan
3Department of Mathematics and Statistics, Riphah International University I-14, Islamabad 44000, Pakistan
4Department of Studies and Research in Mathematics, Davangere University, Davangere, Karnataka, India
5Department of Mechanical Engineering, Sejong University, Seoul 05006, Korea
6Department of Mathematics, COMSATS University Islamabad, Sahiwal 57000, Pakistan

Tóm tắt

AbstractIn this study, a mathematical model is developed to scrutinize the transient magnetic flow of Cross nanoliquid past a stretching sheet with thermal radiation effects. Binary chemical reactions and heat source/sink effects along with convective boundary condition are also taken into the consideration. Appropriate similarity transformations are utilized to transform partial differential equations (PDE’s) into ordinary ones and then numerically tackled by shooting method. The impacts of different emerging parameters on the thermal, concentration, velocity, and micro-rotation profiles are incorporated and discussed in detail by means of graphs. Results reveal that, the escalation in magnetic parameter and Rayleigh number slowdowns the velocity and momentum of the fluid. The increase in Biot number, radiation and heat sink/source parameters upsurges the thermal boundary but, converse trend is seen for escalating Prandtl number. The density number of motile microorganisms acts as a growing function of bioconvection Lewis number and declining function of bioconvection Peclet number.

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Tập 11 Số 1

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