Electro-hydrodynamic Darcy-Forchheimer viscous flow over a stretching surface is scrutinized. Energy communication is presented with the help of the first law of thermodynamics in presence of thermal flux, dissipation and Joule heating. Irreversibility analysis is modeled through thermodynamic second law. First order chemical reaction is scrutinized. Thermodynamics second law gives mathematical method for the reduction of friction and entropy optimization. It is necessary to enhance the entropy rate to obstruct any heat losses that can interrupt the performance of system. Partial differential equation is altered to ordinary system through appropriate variables. The obtained nonlinear system is solved by ND-solve technique. Prominent behaviors of different influential variables on velocity, Bejan number, concentration, entropy generation and temperature are graphically analyzed. Computational outcomes for surface drag force, temperature gradient and mass transfer rate are addressed. Velocity has opposite behavior for higher estimation of electric and magnetic fields parameters. An augmentation in porosity parameter decreases the velocity. Temperature has similar features for magnetic and radiation parameters. Bejan number and entropy generation have similar impacts for electric field. For larger porosity parameter the entropy rate is augmented. Comparative study is highlighted in Table .

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Marangoni forced convective MHD flow of second grade liquid is scrutinized. Heat source/sink, Joule heating and dissipation are addressed in energy equation. Physical aspects of entropy optimization with binary chemical reaction are addressed. Energy and entropy expressions are computed. Marangoni convection influenced on the surface pressure difference is calculated through temperature gradient, magnetic field and concentration gradient. Nonlinear PDE’s are reduced to ordinary one through suitable variables. Nonlinear system is computed for convergent solution by employing of OHAM. Characteristics of different influential parameters on entropy generation, concentration, temperature, Bejan number and velocity are graphically deliberated. Velocity enhances via Marangoni ratio parameter. Velocity and temperature have reverse effects for higher approximation of magnetic variable. For higher second grade fluid parameter the velocity is augmented. An increment occurs in temperature against higher values of Brinkman number and fluid parameter. Concentration decrease versus higher Marangoni ratio parameter. Entropy optimization upsurges for rising values of fluid parameters. Some relevant applications of Marangoni convection effect include atomic reactor, semiconductor processing, thin-film stretching, silicon wafers, soap films, material sciences, nanotechnology and applied physics etc. Entropy supports to progress the importance of numerous engineering and electronic devices development.

The current investigation deals with entropy analysis for radiative flow of nanomaterials between two heated rotating disks. Titanium ([Formula: see text] and [Formula: see text]) and Graphene oxides are taken as nanoparticles. Water ([Formula: see text]) is used as a conventional base liquid. Dissipation and radiation effects are incorporated in energy equation. Rotating disks have different angular velocities. Both disks have different stretching rates. Attention is focused for statistical declaration and probable error. Physical feature of entropy analysis is studied through thermodynamics second law. Nonlinear partial system (PDEs) is reduced to ordinary one (ODEs). Homotopy analysis technique (HAM) is used for convergent series solution. Features of sundry variables on entropy optimization, temperature, Bejan number, and velocity are discussed for both nanoparticles ([Formula: see text] and [Formula: see text]). Computational outcomes for velocity gradient and Nusselt number are addressed through tabulated values. For larger Reynold number the radial and axial velocities are decreased. Temperature is augmented for against higher Eckert number and radiation parameter. Bejan number and entropy rate are augmented versus radiation parameter. Bejan number and Entropy rate have opposite trend via Reynold number. Statistical declaration and probable error are deliberated via Tables.