Flow of magnetized Powell-Eyring fluid in microchannel exposed to non-linear radiation and constricted to slip regime by varying viscosity

Abstract

ABSTRACTThe present article exemplifies flow of Powell-Eyring fluid flowing in the microchannel which is placed horizontally. For this microfluidic flow, fluid is sucked and injected through the walls of the microchannel. The microchannel is also influenced by magnetic field and exposed to the non-linear radiation due to its extensive application to process the polymers, as the ultimate product quality relies on the heat controlling factors. Interest is laid on studying flow manner by differing viscosity. Flow is facilitated by slip and convective conditions. Non-linear equations are solved using finite difference code improved by using the Lobatto IIIA formula with the help of MATLAB software and findings are discussed using graphs. Results attained from the analysis claim that Powell-Eyring fluid parameters decline the velocity of the flow and enhance the skin-friction. The main concern of the present work is to maximize the heat transfer which could be attained by keeping Prandtl number low, thus for higher momentum diffusivity exhaustion in the heat transfer rate is recorded. Reynolds number also turns out to be critical factor as it accelerates the fluid flow at the suction wall and decelerates the velocity at the injection wall.KEYWORDS: Eyring-Powell fluidvelocity slipnon-linear radiationvariable viscosityconvective conditions Nomenclature a=Distance between the plates m;B0=Magnetic field strengthAm−1;Be=Bejan number;Bi=Biot number;B,C=Material fluid parameters;cp=Specific heat at constant pressure (Jkg−1K−1);ℎ=Convective heat transfer coefficientsWm−2K−1;Ec=Eckert number;k=Thermal conductivity (W/m k);M=Magnetic;p=Pressure kgm−1s−2Pr=Prandtl number;Rd=Non-linear radiation parameter;Re=Reynolds number;T=Fluid temperature (K);Ta=Ambient temperature (K);Th=Hot fluid temperature (K);θ=Dimensionless temperature;u=Dimensionless velocity;u ′=Axial velocitym/s;Greek symbols σ=Electrical conductivity(S/m);v0=Uniform suction-injection velocityms−1μ=Dynamic viscositykgm−1s−1α=Slip parameterξ=Stephan-Boltzmann constantWm−2K−4;φ=Mean absorption co-efficientm−1λ=Viscosity variation parameter;λ1λ2=Eyring Powell fluid parameters;ρ=Density(kg/m3);Subscript 1,2=Lower and upper plates respectively;Disclosure statementNo potential conflict of interest was reported by the author(s).Additional informationNotes on contributorsB. J. GireeshaDr. B. J. Gireesha is an eminent researcher who has obtained Doctoral degree from Kuvempu University in the year 2003. The author has competed post-doctoral research in Cleveland State University, Ohio and has attained prestigious Raman fellowship-2015 for post-doctoral research for Indian scholars in USA. He is a researcher of high rank and has reviewed numerous research articles for various National and International journals. He has published more than 280 research articles and possesses an ability to reason analytically and rationally with a sound judgement.S MantheshaDr. S. Manthesha, Lecturer, Department of Mathematics, Taproot Group of Colleges, Bangalore, Karnataka, India. He obtained his Ph.D degree from Tumkur University, Tumkur in the year 2022. He has 5 years of teaching and research experience and is a potential researcher in field of fluid mechanics.F. AlmeidaDr. Felicita Almeida obtained the Ph.D degree from Kuvempu University and is a potential researcher in the field of fluid mechanics especially in flow of non-Newtonian fluid in microchannel. The author has a strong hold on numerical computation and technicality of the paper.P. MallikarjunDr. Patil Mallikarjun, Professor, Department of studies and Research in Mathematics, Tumkur University, Tumkur, Karnataka, India. He obtained his Ph.D degree from Gulbarga University, Kalaburagi in the year 2007. His area of research is heat transfer and fluid flow problems, flow analysis in microchannels.