A Three-Dimensional Non-Newtonian Magnetic Fluid Flow Induced Due to Stretching of the Flat Surface With Chemical Reaction

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Abstract

Three-dimensional (3D) flow of non-Newtonian liquid is studied in this analysis. Also, this paper is mainly focused on an incompressible magnetic liquid with low Curie temperature and moderate saturation magnetization. An extremely long, straight wire delivering an electric current generates a magnetic field that affects the fluid. Thermal radiation and chemical reaction impacts are considered to study heat and mass transport characteristics. Appropriate transformations are used to reduce pertinent flow expressions into ordinary differential equations (ODEs). The obtained ODEs are solved by means of a numerical method (Runge–Kutta–Fehlberg's fourth–fifth order method (RKF-45) algorithm with shooting technique). The effect of pertinent parameters like chemical reaction rate parameter (between 0.1 and 1.5), ferromagnetic interaction parameter (between 0.01 and 1.0), viscous dissipation parameter (between 0.1 and 1.0), radiation parameter (between 0.1 and 1.0), Deborah number (between 0.1 and 1.0) and Schmidt number (between 1.0 and 2.0) on Maxwell liquid flow, heat and mass transport is illustrated via graphs. Furthermore, from the analysis, the heat transfer rate increases about 30%–40% for the increasing values of the ferromagnetic interaction parameter. Also, the mass transfer rate increases about 4%–6% for the increasing values of the chemical reaction rate parameter.

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Impact of Binary Chemical Reaction and Activation Energy on Heat and Mass Transfer of Marangoni Driven Boundary Layer Flow of a Non-Newtonian Nanofluid

Ramanahalli Jayadevamurthy Punith Gowda, Rangaswamy Naveen Kumar, Anigere Jyothi … (2021)

The flow and heat transfer of non-Newtonian nanofluids has an extensive range of applications in oceanography, the cooling of metallic plates, melt-spinning, the movement of biological fluids, heat exchangers technology, coating and suspensions. In view of these applications, we studied the steady Marangoni driven boundary layer flow, heat and mass transfer characteristics of a nanofluid. A non-Newtonian second-grade liquid model is used to deliberate the effect of activation energy on the chemically reactive non-Newtonian nanofluid. By applying suitable similarity transformations, the system of governing equations is transformed into a set of ordinary differential equations. These reduced equations are tackled numerically using the Runge–Kutta–Fehlberg fourth-fifth order (RKF-45) method. The velocity, concentration, thermal fields and rate of heat transfer are explored for the embedded non-dimensional parameters graphically. Our results revealed that the escalating values of the Marangoni number improve the velocity gradient and reduce the heat transfer. As the values of the porosity parameter increase, the velocity gradient is reduced and the heat transfer is improved. Finally, the Nusselt number is found to decline as the porosity parameter increases.