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The aim of present article is to explore the novel aspects of activation energy in nonlinearly convective flow of Maxwell nanofluid driven by nonlinearly stretched inclined cylinder. Generalized forms of Fourier's and Fick's law are utilized through Cattaneo-Christov double diffusion scheme. Maxwell nanomaterial model is used to describe the significant slip mechanism namely known as Brownian and thermophoresis diffusions. Features of double stratification, non-uniform heat generation/absorption, binary chemical reaction and activation energy are considered for present flow problem. Modified Arrhenius formula for activation energy is implemented. The resulting nonlinear system is cracked for series solutions via homotopy technique. Effects of different flow parameters on temperature, nanoparticle volume concentration and velocity fields are examined through graphs and tables. Numerical computations are performed for local Nusselt and Sherwood numbers. Our analysis reveals that nanoparticle concentration is directly proportional to the chemical reaction with activation energy. Moreover stratification variables diminish the temperature and concentration. It is also noticed that higher estimation of Deborah number declines the velocity profile of Maxwell fluid. Numerical outcomes are compared with previous published results and found to be in good agreement for limiting cases of the evolving parameters.

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The theme of the present communication is to explore the novel analysis of entropy generation optimization, binary chemical reaction and activation energy for nonlinear convective flow of Sisko model on a radially stretchable rotating disk in the presence of a uniform vertical magnetic field. Nonlinear mixed convection, nonlinear thermal radiation, MHD, viscous dissipation, Joule heating and non-uniform heat generation/absorption are also considered. Nanofluid model includes significant slip mechanism of Brownian motion and thermophoresis. Apposite transformations are endorsed to get the nonlinear coupled ODEs system. The resultant system of ordinary differential equations is endeavoured for series solutions through homotopic technique. Total entropy generation is inspected through numerous emerging flow variables. Comparative study is made for temperature, velocity, heat transfer rate, Bejan number, entropy generation and mass transfer Nusselt number by considering shear thickening and thinning fluids. Finally, a comparison is specified with the previous existing results.

Theoretical investigation is performed to explore the novel aspects of nonlinear thermal radiation and non-uniform heat source/sink for chemically reactive flow of ferromagnetic Maxwell liquid over a permeable stretching sheet. Buongiorno model is employed to include Brownian motion and thermophoresis effects. The novelty of the existing study is to account the effect of binary chemical reaction, viscous dissipation, thermal and solutal stratification for ferromagnetic Maxwell fluid. Governing system of nonlinear partial differential equations is transformed into a system of nonlinear ordinary differential equations with the help of apposite similarity transformations. The acquired resulting nonlinear ODEs are solved numerically with the assistance built-in-shooting method (bvp4c). Effects of emanating variables are examined through graphs and tables. It is evident that heat transfer rate enhances with thermal radiation. It is analyzed that temperature upsurges for greater estimations of thermal radiation , ferromagnetic and thermophoresis parameters however it declines for Prandtl number (Pr) and thermal stratified parameter (S₁). Space and temperature dependent heat sinks are more appropriate for cooling purposes.

The purpose of the present article is to explore the novel aspects of activation energy in nonlinearly convective flow of Walter-B nanofluid in view of Cattaneo-Christov double diffusion model over a permeable stretched sheet. Generalized forms of Fourier's and Fick's law are utilized through Cattaneo-Christov double diffusion. Walter-B nanomaterial model is used that describes the significant slip mechanism namely Brownian and thermophoresis diffusions. Double stratification, heat generation/absorption and chemical reaction are considered. Modified Arrhenius formula for activation energy is implemented. The acquired nonlinear system is cracked through homotopic analysis method. Effects of emanating variables are examined through graphs and tables. It is evident that temperature distribution and thermal boundary layer thickness is monotonically dwindling function of thermal stratification parameter , thermal relaxation time and upsurge for the thermophoresis parameter , heat generation/absorption parameter (B₁), Brownian motion parameter . Nanoparticle concentration is directly comparable to the activation energy of reaction and impact of thermal relaxation time is qualitatively opposite to that of thermophoretic force.

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This investigation deals with entropy generation optimization and an activation energy mechanism for nonlinear convective flow of a Sisko nanofluid due to a stretchable rotating disk. Heat transfer analysis is accomplished through nonlinear thermal radiation and non-uniform heat generation/absorption. The Joule heating effect is also considered with viscous dissipation. The nanofluid model includes Brownian motion and thermophoresis. Apposite transformations are endorsed to obtain the nonlinear-coupled ordinary differential equation system. The attained system endeavors for series solutions by the homotopy technique. Total entropy generation is analyzed through numerous flow variables. A comparative study of shear-thickening and shear-thinning fluids is also presented for the Bejan number, heat transfer rate, mass transfer Nusselt number, entropy generation, temperature, velocity and concentration. Here the entropy generation rate (irreversibility rate) is enhanced for the thermal radiation parameter while the reverse behavior is noted for the material parameter and Brinkman number. Furthermore, the behavior of the temperature profile and nanoparticle concentration will be displayed through a Brownian motion parameter and an activation energy parameter.