RETRACTED: Entropy optimized magnetohydrodynamics Darcy–Forchheimer second order velocity slip flow of nanomaterials between two stretchable disks

Abstract

Here magnetohydrodynamics Darcy–Forchheimer second order velocity slip flow of nanomaterials is discussed between two stretchable surfaces of rotating disks, where the both disks are rotating with altered angular frequencies and rates. Flow in permeable medium is designated by implementing Darcy–Forchheimer relation. The energy expression is discussed and modeled subject to various effects like dissipation, Ohmic heating (Joule heating), and heat source/sink. Two different types of nanoparticles, i.e. graphene oxide (GO) and titanium dioxide (TiO2), are utilized and H2O as a base fluid. Total entropy rate which depends on five different types of irreversibilities (i.e., heat, mass fluid friction, Ohmic heating and Darcy–Forchheimer or porosity) is calculated via thermodynamics law (second). Furthermore, binary chemical reaction is accounted for the analysis of mass with activation energy. Numerical solutions are found out with the help of shooting method. Behaviors of flow variables on the skin friction coefficients, velocity field, Nusselt numbers, temperature distribution, entropy generation, concentration, and Bejan number are plotted graphically and discussed. The results are compared with previous literature and found good agreement with them. Our obtained results illustrate that the entropy rate is more subject to rising Brinkman number.

Thermal analysis of double diffusive electrokinetic thermally radiated TiO2-Ag/blood stream triggered by synthetic cilia under buoyancy forces and activation energy

“…In the context of non-Newtonian fluid, the impact of activation energy in Darcy-Forchheimer radiated flow over a stretching sheet is discussed by Ijaz and Alzahrani [20]. The dynamic of activation energy and magnetic field in the Darcy-Forchheimer flow of nanomaterial [21] and the Jeffery nanofluid [22] is also communicated.…”

Thermal Analysis of Conductive-Convective-Radiative Heat Exchangers With Temperature Dependent Thermal Conductivity

“…[24]- [30] recently focused on the study of optimization of various nonlinear models representing physical phenomenon. Radiation, in addition to convection, is another source of heat loss.…”

An investigation on the forced convection heat transfer in the gap of two rotating disks with laminar inflow

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