Mathematical Modeling and Theoretical Analysis of Second-Grade Nanomaterial with Entropy Optimization
A theoretical study of a second-grade nanofluid over a porous medium has been conducted. Stagnation point flow is considered. Effects of nonlinear radiative heat flux, dissipation and Joule heating are considered in the modeling of energy equation. Furthermore, chemical reaction is accounted. The wall is not stationary, but stretching at rate a. Total irreversibility rate is obtained through the second thermodynamics law. Slip mechanism of nanoparticles like Brownian movement and thermophoresis are considered. Suitable transformations lead to ordinary system. Solution development is done through HAM. Effects of pertinent variables are graphically discussed. Skin friction and temperature gradient are examined graphically versus different parameters. It is observed that velocity field decreased versus larger magnetic parameter. Temperature enhances versus rising values of magnetic and radiation variables. Main idea of present flow is listed.
KeywordsSecond-grade nanofluids Chemical reaction Nonlinear radiative heat flux Entropy generation Joule heating and viscous dissipation Nonlinear mixed convection
- Ahmad SE, Raizah ZAS, Aly AM (2017) Entropy generation due to mixed convection over vertical permeable cylinders using nanofluids. J King Saud Univ SciGoogle Scholar
- Choi SUS (1995) Enhancing thermal conductivity of fluids with nanoparticles. ASME Fluids Eng Div 231:99–105Google Scholar
- Hayat T, Rashid M, Khan MI, Alsaedi A (2019b) Physical aspects of MHD nonlinear radiative heat flux in flow of thixotropic nanomaterial. Iran J Sci Technol Trans A Sci 1–12Google Scholar
- Khan MI, Khan SA, Hayat T, Alsaedi A (2019e) Entropy optimization in magnetohydrodynamic flow of third-grade nanofluid with viscous dissipation and chemical reaction. Iran J Sci Technol Trans A Sci 1–11Google Scholar
- Turkyilmazoglu M (2019c) MHD natural convection in saturated porous media with heat generation/absorption and thermal radiation. Arch Mech 71:49–64Google Scholar