Significance of activation energy, bio-convection and magnetohydrodynamic in flow of third grade fluid (non-Newtonian) towards stretched surface: A Buongiorno model analysis

Abstract This research peruses the characteristics of heat and mass transfern of a special non-Newtonian third-grade fluid over a porous convectively-heated shrinking sheet filled with nanoparticles. The Buongiorno model is used for the special non-Newtonian third-grade fluid that includes both the Brownian motion and the thermophoresis effects with non-linear radiation. The nonlinear system of ordinary differential equations are obtained using a suitable transformation. The converted system of equations are then numerically solved using shooting method. The numerically-obtained results for the skin friction, local Nusselt number and the local Sherwood number as well as velocity profile, temperature distribution and concentration of nanoparticle are illustrated for different physical parameters through graphs and tables. On the behalf of the whole studies, final conclusions are made and it is observed that multiple solutions are achieved for certain values of the suction parameter. Further, the non-Newtonian parameter reduces the velocity of the fluid and increases the temperature and the concentration profiles for the first solution while the reverse trend is seen for the second solution. Finally, a comparative analysis is made through previous studies in limiting cases and shown good correlation.

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Significance of Mixed Convection and Arrhenius Activation Energy in a Non-Newtonian Third Grade Fluid Flow Containing Gyrotactic Microorganisms Towards Stretching Surface

10.21203/rs.3.rs-146062/v1 ◽

2021 ◽

Author(s):

Abdullah Dawar ◽

Saeed Islam ◽

Zahir Shah ◽

Poom Kumam

Keyword(s):

Activation Energy ◽

Numerical Solutions ◽

Manufacturing Sector ◽

Third Grade ◽

Third Grade Fluid ◽

Stretching Surface ◽

Arrhenius Activation Energy ◽

Gyrotactic Microorganisms ◽

Similarity Transformations ◽

Grade Fluid

Abstract In most scenarios of concern, the bulk of fluids treated by researchers and engineers, such as air, water, and oils, can be considered as Newtonian. The inference of Newtonian action however is not true in many situations and the much more complicated non-Newtonian reaction should be superimposed. Such situations exist in the chemical manufacturing sector and the plastics processing plants. Here, we present the mixed convective flow of non-Newtonian third grade fluid containing gyrotactic microorganisms through a stretching surface. The flow is considered as unsteady, laminar, and incompressible. Furthermore, the flow is magnetized and electrically conducting with the help of applied magnetic field. Chemical reaction along with Arrhenius activation energy and viscous dissipation influences are taken into attention. The governing PDEs are transformed to ODEs through appropriate similarity transformations. Analytical and numerical solutions of the present analysis are done with the help of incorporated codes in MATHEMATICA 10.0. Convergence of HAM is presented through Figures. Also, the outcomes of the embedded factors on the nanofluid flow are displayed through Figures.

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