Comparative Analysis of a Cone, Wedge, and Plate Packed with Microbes in Non-Fourier Heat Flux

In this study, we investigated a radiative chemically reactive Casson fluid above a cone, plate, and wedge with gyrotactic microorganisms subjected to the Cattaneo–Christov heat flux model. Newton’s method and the Runge–Kutta methods were employed to solve the physical problem, and a graphical representation of the numerous impacts of non-dimensional parameters on temperature, velocity, and concentration was created. In addition, we also compared recently published solutions with our current solution, which showed good agreement. From this investigation, we concluded that the motile organisms’ momentum, temperature, and concentration density were non-uniform in nature. Here, for engineering importance, we also present the mass transfer and thermal transfer rate over the cone, wedge, and plate cases in a tabular form. We concluded that the mass and heat transfer rate was larger over the cone when compared to the same case over a plate or wedge. The results also highlighted that the local Nusselt and Sherwood numbers and the mass density of the microorganisms depreciated as the Casson fluid parameter decreased. In summary, we concluded that the gyrotactic microorganisms played a role in enhancing the local Sherwood number

Dynamics of Triple Diffusive Free Convective MHD Fluid Flow: Lie Group Transformation

This analysis is interested in the dynamic flow of incompressible triple diffusive fluid flowing through a linear stretched surface. The current study simulates when Boussinesq approximation and MHD are significant. As for originality, a comparative study of all the results for opposing and assisting flow cases is provided. Lie-group transformation is utilized to determine symmetry depletions of partial differential equations. The transformed system of ordinary differential equations is solved using the Runge-Kutta shooting technique. The impacts of magnetic parameter, buoyancy ratio parameter of temperature and concentration, and Lewis number on velocity, temperature, and concentration are depicted through graphs. We observed that the magnetic field parameter decelerates in velocity distribution for both fluid flow cases. Additionally, the same phenomenon was noticed with the buoyancy ratio parameters on both salt concentration distributions. Finally, the influence of heat and mass transfer rates decreases for both fluid flow cases with an increase in Lewis number

Comparative Analysis of a Cone, Wedge, and Plate Packed with Microbes in Non-Fourier Heat Flux

In this study, we investigated a radiative chemically reactive Casson fluid above a cone, plate, and wedge with gyrotactic microorganisms subjected to the Cattaneo–Christov heat flux model. Newton’s method and the Runge–Kutta methods were employed to solve the physical problem, and a graphical representation of the numerous impacts of non-dimensional parameters on temperature, velocity, and concentration was created. In addition, we also compared recently published solutions with our current solution, which showed good agreement. From this investigation, we concluded that the motile organisms’ momentum, temperature, and concentration density were non-uniform in nature. Here, for engineering importance, we also present the mass transfer and thermal transfer rate over the cone, wedge, and plate cases in a tabular form. We concluded that the mass and heat transfer rate was larger over the cone when compared to the same case over a plate or wedge. The results also highlighted that the local Nusselt and Sherwood numbers and the mass density of the microorganisms depreciated as the Casson fluid parameter decreased. In summary, we concluded that the gyrotactic microorganisms played a role in enhancing the local Sherwood number

A Significant Role of Activation Energy and Fourier Flux on the Quadratically Radiated Sphere in Low and High Conductivity of Hybrid Nanoparticles

Fluid flow through a sphere has practical applications in numerous areas of technology, for instance, mineralogy, food engineering, and oilfield drilling. The goal of this paper is to look at how quadratic thermal radiation and activation energy affect the dissipative flow of hybrid nanofluids around a sphere with the heat source parameter. bvp4c (a MATLAB in-built function) is used to solve a system of nonlinear ordinary differential equations, which is the transformed version of the system of governing equations. Using multiple linear regression, the effects of relevant parameters on the mass transfer rate, the Nusselt number, and the skin friction coefficient are investigated. The key findings of this study are that increasing the radiation parameter improves the fluid temperature and increasing the activation energy parameter improves the fluid concentration. When the Eckert number and the parameter of the heat source are increased, the convective heat transmission is reduced. It appears that the magnetic field parameter reduces the shear stress near the surface. It is discovered that increasing the volume percentage of nanoparticles increases the skin friction coefficient and increasing the Schmidt number increases the mass transfer rate. Furthermore, the current results are validated against previously published data

A Significant Role of Activation Energy and Fourier Flux on the Quadratically Radiated Sphere in Low and High Conductivity of Hybrid Nanoparticles

Fluid flow through a sphere has practical applications in numerous areas of technology, for instance, mineralogy, food engineering, and oilfield drilling. The goal of this paper is to look at how quadratic thermal radiation and activation energy affect the dissipative flow of hybrid nanofluids around a sphere with the heat source parameter. bvp4c (a MATLAB in-built function) is used to solve a system of nonlinear ordinary differential equations, which is the transformed version of the system of governing equations. Using multiple linear regression, the effects of relevant parameters on the mass transfer rate, the Nusselt number, and the skin friction coefficient are investigated. The key findings of this study are that increasing the radiation parameter improves the fluid temperature and increasing the activation energy parameter improves the fluid concentration. When the Eckert number and the parameter of the heat source are increased, the convective heat transmission is reduced. It appears that the magnetic field parameter reduces the shear stress near the surface. It is discovered that increasing the volume percentage of nanoparticles increases the skin friction coefficient and increasing the Schmidt number increases the mass transfer rate. Furthermore, the current results are validated against previously published data