MHD HYPERBOLIC TANGENT CASSON-WILLIAMSON NANOFLUID OVER A LINEARLY STRETCHING SHEET WITH THERMOPHORESIS AND BROWNIAN MOTION B Shashidar Reddy, B Narsimha Reddy, K Saritha, Christophe Chesneau International Journal of Applied Mechanics and Engineering, 2025 The main aim of this research is to investigate the effects of Brownian motion and Thermophoresis on an MHD hyperbolic tangent Williamson-Casson nanofluid passing over a stretching sheet. Through appropriate similarity transformations, non-linear partial differential equations governing the model can give rise to non-linear ordinary differential equations. These equations are solved numerically using the Keller-Box method. The quantities related to engineering aspects, such as skin friction, Sherwood number, heat exchange and the various effects of quantifiers on momentum, temperature, and concentration are illustrated with examples for better understanding. For the sake of accuracy, the computational resolution of this research is limited to the published data and is derived from the Keller-Box approach. Heat exchangers, chemical reactors, and thermal management systems are just some of the technological applications for which the study's conclusions may have broad implications. Skin friction increases with Casson and Williamson parameters. For both the fluids, mass transfer is accelerated with Brownian effect while heat transfer decelerates with Thermophoresis effect. The combination of Casson-Williamson characteristics, hyperbolic tangent fluid dynamics and MHD provides a novel way of understanding non-Newtonian fluids in the presence of magnetic fields.
Joint Effect of Velocity Slip and Joule Heating MHD Casson-Williamson Nanofluid Passes Through the Stretching Porous Medium Yuvaraju Namala, Dyapa Hymavathi, Ramesh Kune, Borra Shashidar Reddy Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, 2024 The objective of this study is to examine the heat and mass transport characteristics of a non-Newtonian Casson-Williamson nanofluid flow over a porous stretching sheet. The viscoelastic characteristic of a fluid is obtained by combining Casson and Williamson fluids. It is anticipated that the porous media through which the non-Newtonian fluid flows will adhere to Darcy's law. The effects of magnetic and electric fields are taken into account. The mathematical modeling of this physical problem involves a set of nonlinear partial differential equations that are mass, energy and momentum, together with corresponding boundary conditions, these PDEs are transformed into dimensionless ODE by appropriate similarity transformations and solved by R-K method. The numerical analysis is subsequently presented in a visual format to illustrate the influence of different controlling parameters on velocity, temperature, and concentration. Moreover, the analysis gives higher values of magnetic, viscous dissipation and joule heating parameters leads the temperature and Nusselt number. Conversely an increasing in mixed convection parameter result in a depreciation in the temperature. The skin-friction coefficient exhibited an upward trend with an increase in the porosity parameter. The rate of heat transfer demonstrated a rise under the Joule heating conditions. These findings are compared to other recorded results for a specific situation, then displayed graphically and analyzed in terms of engineering and industrial implications. Novelty this paper is by adding joule heating to nanofluid control over heat dissipation, thermal stability, or enhanced efficiency in heat exchange applications.
Comparative numerical study featuring magnetized nanofluids configured by elongating sheet with thermophoresis and Brownian motion Srinivasa Rao Puchakayala, Shashidar Reddy Borra, Saritha Kallu, Shoira Formanova, M. Ijaz Khan, M. Waqas, Furqan Ahmad, Manish Gupta Partial Differential Equations in Applied Mathematics, 2024 This study investigates the heat and mass transfer characteristics of MHD rotating Fe₃O₄-Al₂O₃/H₂O hybrid nanofluid flow over a three-dimensional stretching surface. Comparative analysis was conducted among the base fluid H₂O, Al₂O₃-H₂O nanofluid, and Fe₃O₄-Al₂O₃/H₂O hybrid nanofluid, focusing on velocity, temperature, and concentration distributions influenced by thermophoresis, Brownian motion, Hall current, temperature ratio, magnetic parameter, rotation, and thermal radiation. The governing nonlinear partial differential equations were transformed into ordinary differential equations using similarity adaptations and solved numerically with the BVP-5C method in MATLAB. Results indicate that increasing the thermophoresis and Brownian motion parameters elevates the temperature profile while affecting the concentration distribution differently. The hybrid nanofluid exhibited a higher temperature distribution compared to the nanofluid and base fluid, whereas the base fluid showed a greater concentration gradient.
Melting heat transfer and MHD boundary layer fluid flow over a moving surface with radiation effects B. Shashidar Reddy, K. Saritha Aip Conference Proceedings, 2024 The goal of the current work is to better understand how heat transmission originating from a hot, electrically conductive fluid across a moving surface is affected by radiation and melting. The flow problem is converted into linked nonlinear ordinary differential equations by means of the relevant transformations. In the early stage, momentum equation is linearized using Bellman technique of quasi linearization and later Finite difference scheme is utilized to solve numerically. The impacts of different flow parameters are depicted graphically using representative data for velocity and temperature profiles. The momentum boundary layer is influenced by moving parameters to grow. Melting has the effect of lowering the fluid's temperature in the boundary layer.
Mechanisms of Diffusion Thermo and Thermal Diffusion on MHD Mixed Convection Flow of Casson Fluid over a Vertical Cone with Porous Material in the Presence of Thermophoresis and a Brownian Motion Ravikiran Chintalapudi, Halesh Koti, B Shashidar Reddy, K Saritha Journal of Advanced Research in Numerical Heat Transfer, 2024 In this present article, we analyzed the Effects of Diffusion thermo and Thermal Diffusion on magnetohydrodynamic (MHD) mixed convection flow for Casson nanofluid is deliberated a vertical cone with porous material. The modeled equations are transformed into a set of non-linear ODEs by employing similar transformable variables. These equations are then solved numerically using the shooting method, through the fourth-order Runge–Kutta integration procedure. Effects of some prominent physical parameters, such as diffusion thermo, Prandtl number, thermophoresis parameter, and magnetic parameter on the velocity, temperature, and concentration profiles are discussed graphically and numerically. Numerical calculations and graphs are used to illustrate the important features of the solution on fluid flow velocity, heat, and mass transfer characteristics under different quantities of parametric circumstances entering into the problem. Moreover, we computed the physical variables such as the coefficient of shear stress, rate of heat, and mass transfer. To establish the veracity of our present results, we compared them to previously published research and found substantial concordance.
A Numerical Investigation on Boundary Layer Flow of MHD Tangent Hyperbolic Fluid Flow over a Stretching Sheet with Slip Boundary Conditions Banda Narsimha Reddy, Ramya Dodda, Borra Shashidar Reddy Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, 2024 This investigation addresses the flow of hyperbolic tangential magnetohydrodynamic (MHD) fluids across a stretching sheet, discussing its thermophysical properties and observing the boundary conditions for velocity and thermal slip. The mathematical model converts coupled non-linear PDEs to ordinary differential equations with the aid of local similarity variables. In order to fix the derived ordinary differential equations, the Keller box method is utilized. This paper summarizes quantitative and qualitative effects of various flow regulating parameters which modify concentrations, temperatures, and velocities. In addition, the behavior near the stretched sheet is examined by computing the wall friction factor and the local Nusselt number. Both computational and conceptual computations of the wall friction factor and local Nusselt number are compared, and the findings show a strong agreement, giving credibility to the numerical results.
Combined impact of radiation and chemical reaction on MHD hyperbolic tangent nanofluid boundary layer flow past a stretching sheet I. Athal, Byeon Haewon, A. Sasikala, B. Narsimha Reddy, Vediyappan Govindan, P. Maddileti, K. Saritha, B. Shashidar Reddy, S. Rajakumari, Jagadish V. Tawade, Nissren Tamam, Barno Sayfutdinovna Abdullaeva, Jasgurpreetsingh Chohan, Raghawendra Mishra Modern Physics Letters B, 2023 The aim of this study is to investigate the effects of thermal radiation and chemical reactions on magnetohydrodynamic hyperbolic tangent liquid, which includes nanoparticles on a stretched surface while taking into account Brownian motion and thermophoresis. The nonlinear partial differential equations governing the system are converted into nonlinear ordinary differential equations through suitable similarity transformations. The focus of the study is to elucidate important engineering concepts such as skin friction, Sherwood number, and heat transfer, as well as to understand the effects of various expressions on the different profiles. The Keller-box approach, a sophisticated numerical tool, is used to get the numerical answers to the current enquiry. The generated findings are extensively tested for correctness and dependability. The findings of this study might have far-reaching ramifications for a variety of technical applications, including heat exchangers, chemical reactors, and thermal management systems.The results show that the rate of mass transfer rises with the increment in the factors of chemical reaction, thermal radiation, nanoparticles volume, and Brownian motion.
Impact of chemical reaction on mass transfer and melting heat transfer of porous mhd casson fluid flow B. S. Reddy, K. Saritha, J. Madhu Journal of Mathematical and Computational Science, 2021 Melting and chemical reaction impacts on heat and mass transfer of MHD Casson fluid flow over a porous stretching surface is examined numerically in this article. The governing partial differential equations are converted by using adequate transformations and the resulting ordinary differential equations are solved numerically using finite difference scheme along with Thomas algorithm. The graphical illustrations are presented for velocity, temperature and concentration distributions. Also Skin friction, Nusselt number and Sherwood number are elucidated for chosen values of various parameters. To validate the numerical method employed, the present results are compared with the existing literature and found to be in good agreement.
Radiation effects on MHD non-newtonian power-law fluid past over a non-linearly stretching surface with viscous dissipation International Journal of Applied Engineering Research, 2016
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