Entropy generation assessment in radiative rheological nanomaterial beyond conventional approach of heat and mass fluxes
Tasawar Hayat, Aqsa Razzaq, Sajjad Shaukat Jamal, Aneeta Razaq, Sohail A. Khan
Abstract
Background and objective In the modern era the entropy generation is an important phenomenon in industrial, automotive and mechanical engineering applications such as power collection system, cryogenic, thermal energy storage, electronics, information systems, heat exchangers and geothermal systems etc. Especially the rheological nanomaterials invoking Cattaneo-Christov flux theory for thermal transport are useful in processes related to cooling electronic devices, energy storage, cooling microchips, solar energy and thermal energy technology. Therefore, here the Cattaneo-Christov theory for Carreau nanomaterial flow due to stretched cylinder is considered. Nonlinear mixed convection and convective conditions are considered. Heat equation comprises radiation and heat generation. Dufour and Soret features are discussed. Brownian movement and thermophoresis diffusions are considered. Binary reaction of first order is discussed. Dissipation is not accounted. New formulation of entropy rate for radiation and heat generation in view of Cattaneo-Christov theory is first time correctly developed. Methodology Optimal homotopy analysis method (OHAM) computed the nonlinear differential systems. Solutions convergence through individual and total residual errors is organized. Results Flow, temperature, entropy rate, and concentration are deliberated. Physical features of thermal transport rate and Sherwood number for influential parameters are examined. Velocity for curvature is enhanced. Similar response can be seen for entropy rate and temperature through thermal relaxation time. An enhancement in Nusselt number holds for Dufour number and thermal relaxation time variable. An opposite behaviors for Sherwood number and concentration occurs through solutal relaxation time and reaction parameters. An intensification in entropy rate against radiation and solutal relaxation time variables witnessed.