Theoretical investigation of Ree-Eyring nanofluid flow with entropy optimization and Arrhenius activation energy between two rotating disks.

Background Characterised with augmented heat transport and thermal efficiency, nanofluids are implementable in diversified applications include pharmaceutical industries, hybrid-powered machines, cooling of different appliances, refrigerator, microelectronic, heat exchanger etc. Taking such advantages into mind, physical aspects of entropy optimization and non-linear thermal radiation in Darchy–Forchheimer flow of copper–water nanofluid due to a rotating disk are examined. A new thermal conductivity model of nanofluids involving static and dynamic approach is considered. This model signifies hydrodynamic interaction among the Brownian motion induced fluid particles. The Cattaneo–Christov heat flux theory is taken into account. The second law of thermodynamics is the instrumental for the determination of total entropy generation rate. Methods The system of nonlinear PDEs is converted into system of nonlinear ODEs through favorable transformations. Shooting technique has been applied prospectively to accomplish the desired numerical solution of the transformed equations. Results The behavior of velocity (axial, transverse and tangential) and thermal fields influenced by varied physical parameters is impressed through graphs and numerical tables. Velocity field peters out due to rising porosity parameter as well as volume fraction while thermal field upgrades for higher Biot number and radiation parameter. Significant heat transfer rate is obtained for smaller estimation of radiation parameter. Entropy generation rate and Bejan number exhibit similar trend for radiation parameter and opposite fashion for Reynolds number. Conclusions The diminishing velocity distribution for larger access of porous matrix while elevated temperature distribution for higher temperature parameter (due to nonlinear thermal radiation). Entropy minimization is accomplished for grater estimation of Brinkman and Reynolds numbers.

Flow and thermal analysis on Darcy-Forchheimer flow of copper-water nanofluid due to a rotating disk: A static and dynamic approach

Transportation of hybrid nanoparticles in forced convective Darcy-Forchheimer flow by a rotating disk

Free convection and radiation effects in nanofluid (Silicon dioxide and Molybdenum disulfide) with second order velocity slip, entropy generation, Darcy-Forchheimer porous medium

Computational frame work of Cattaneo-Christov heat flux effects on Engine Oil based Williamson hybrid nanofluids: A thermal case study

Entropy generation in flow of Carreau nanofluid

This paper introduces a simplified presentation of a new computing procedure for solving the fuzzy Pythagorean transportation problem. To design the algorithm, we have described the Pythagorean fuzzy arithmetic and numerical conditions in three different models in Pythagorean fuzzy environment. To achieve our aim, we have first extended the initial basic feasible solution. Then an existing optimality method is used to obtain the cost of transportation. To justify the proposed method, few numerical experiments are given to show the effectiveness of the new model. Finally, some conclusion and future work are discussed.

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A Pythagorean fuzzy approach to the transportation problem

The present communication addresses the heat and mass transfer mechanism in MHD nanofluid flow of Williamson fluid over a stretching sheet taking the combined effects of Joule heating, nonlinear thermal radiation and viscous dissipation into consideration. For physical relevance we also analyzed the influence of chemical reactions on the flow field. The appropriate transformations are implemented to metamorphose the governing PDEs into a set of coupled ODEs. The shooting technique along with fourth order Runge–Kutta method has been implemented to get the solutions of obtained highly non-linear ODEs. The second law of thermodynamics is implemented to model the equation of entropy generation for the current analysis. Impact of different dominant parameters on velocity, temperature, concentration, entropy generation as well as Bejan number are described through graphs whereas the variation in the skin friction coefficient, heat transfer rate and mass transfer rate are studied using numerical data in the tabular form. It is observed from the obtained numerical data that the rate of heat transfer gets reduced with increase in Eckert number while the thermal radiation parameter tends to enhance it. Increase in Brinkman parameter leads to a rise in entropy generation while it (Brinkman parameter) has an adverse effect on Bejan number.

Simultaneous effects of nonlinear thermal radiation and Joule heating on the flow of Williamson nanofluid with entropy generation

The authors present a new algorithm for solving the shortest path problem (SPP) in a mixed fuzzy environment. With this algorithm, the authors can solve the problems with different sets of fuzzy nu...

A Different Approach for Solving the Shortest Path Problem Under Mixed Fuzzy Environment

This article presents the study of two-dimensional hydromagnetic stagnation point flow of Casson nanofluid over a stretching sheet in a non-Darcy porous medium with binary chemical reaction stimulated by Arrhenius activation energy. The energy equation is obtained by considering the production of heat due to Joule and viscous dissipations, heat generation/absorption and thermal radiation of the liquid. The flow model is developed and presented in the form of a system of nonlinear partial differential equations together with appropriate boundary conditions. The particle flux at the sheet is taken to be zero. The leading PDEs are transformed into dimensionless coupled ordinary differential equations (ODEs) by the usual procedure of transformation. The obtained ODEs are solved using optimal homotopy analysis method, and the effects of underlying parameters on the fluid velocity, temperature, concentration, entropy generation and Bejan number are demonstrated with the help of graphs. Also, the numerical values of skin friction coefficient, Nusselt number and Sherwood number are presented in tabular form. Linear as well as quadratic regression analysis for quantities of physical interest has also been carried out. Entropy generation is perceived to rise on increasing diffusive variable and Brinkman number, whereas Brownian diffusion has an adverse effect on it. Skin friction coefficient is reduced on increasing Casson fluid parameter and activation energy.

Ramayan Singh

Papers

Entropy generation in flow of Carreau nanofluid

A Pythagorean fuzzy approach to the transportation problem

Simultaneous effects of nonlinear thermal radiation and Joule heating on the flow of Williamson nanofluid with entropy generation

A Different Approach for Solving the Shortest Path Problem Under Mixed Fuzzy Environment

Entropy generation and regression analysis on stagnation point flow of Casson nanofluid with Arrhenius activation energy