MHD micropolar nanofluid flow through an inclined channel with entropy generation subjected to radiative heat flux, viscous dissipation and multiple slip effects
A. Roja, B. J. Gireesha, B. C. Prasannakumara
Abstract
Purpose Miniaturization with high thermal performance and lower cost is one of the advanced developments in industrial science chemical and engineering fields including microheat exchangers, micro mixers, micropumps, cooling microelectro mechanical devices, etc. In addition to this, the minimization of the entropy is the utilization of the energy of thermal devices. Based on this, in the present investigation, micropolar nanofluid flow through an inclined channel under the impacts of viscous dissipation and mixed convection with velocity slip and temperature jump has been numerically studied. Also the influence of magnetism and radiative heat flux is used. Design/methodology/approach The nonlinear system of ordinary differential equations are obtained by applying suitable dimensionless variables to the governing equations, and then the Runge–Kutta–Felhberg integration scheme is used to find the solution of velocity and temperature. Entropy generation and Bejan number are calculated via using these solutions. Findings It is established to notice that the entropy generation can be improved with the aspects of viscous dissipation, magnetism and radiative heat flux. The roles of angle of inclination <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"><m:mrow><m:mrow><m:mo stretchy="false">(</m:mo><m:mi>α</m:mi><m:mo stretchy="false">)</m:mo></m:mrow></m:mrow></m:math> , Eckert number <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"><m:mrow><m:mrow><m:mo stretchy="true">(</m:mo><m:mrow><m:mtext>Ec</m:mtext></m:mrow><m:mo stretchy="true">)</m:mo></m:mrow></m:mrow></m:math> , Reynolds number <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"><m:mrow><m:mrow><m:mo stretchy="true">(</m:mo><m:mrow><m:mtext>Re</m:mtext></m:mrow><m:mo stretchy="true">)</m:mo></m:mrow></m:mrow></m:math> , thermal radiation <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"><m:mrow><m:mrow><m:mo stretchy="true">(</m:mo><m:mrow><m:mtext>Rd</m:mtext></m:mrow><m:mo stretchy="true">)</m:mo></m:mrow></m:mrow></m:math> , material parameter <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"><m:mrow><m:mrow><m:mo stretchy="false">(</m:mo><m:mtext>K</m:mtext><m:mo stretchy="false">)</m:mo></m:mrow><m:mo>,</m:mo><m:mo> </m:mo></m:mrow></m:math> slip parameter <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"><m:mrow><m:mrow><m:mo stretchy="false">(</m:mo><m:mi>δ</m:mi><m:mo stretchy="false">)</m:mo></m:mrow></m:mrow></m:math> , microinertial parameter <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"><m:mrow><m:mrow><m:mo stretchy="true">(</m:mo><m:mrow><m:msub><m:mi>a</m:mi><m:mi>j</m:mi></m:msub></m:mrow><m:mo stretchy="true">)</m:mo></m:mrow></m:mrow></m:math> , magnetic parameter <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"><m:mrow><m:mrow><m:mo stretchy="false">(</m:mo><m:mi>M</m:mi><m:mo stretchy="false">)</m:mo></m:mrow></m:mrow></m:math> , Grashof number <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"><m:mrow><m:mrow><m:mo stretchy="true">(</m:mo><m:mrow><m:mtext>Gr</m:mtext></m:mrow><m:mo stretchy="true">)</m:mo></m:mrow></m:mrow></m:math> and pressure gradient parameter <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"><m:mrow><m:mrow><m:mo stretchy="false">(</m:mo><m:mi>A</m:mi><m:mo stretchy="false">)</m:mo></m:mrow></m:mrow></m:math> are demonstrated. It is found that the angle of inclination and Grashof number enhances the entropy production while it is diminished with material parameter and magnetic parameter. Originality/value Electrically conducting micropolar nanofluid flow through an inclined channel subjected to the friction irreversibility with temperature jump and velocity slip under the influence of radiative heat flux has been numerically investigated.