The melting effect with the magnetic field performs a significant role in various manufacturing and industrial applications, such as welding, casting, magma‐solidification, nuclear engineering, and so forth. The present study focuses on the impact of the melting effect and magnetic field with inhomogeneous heat origination and sink. The formulation of the mathematical model is done by considering fluid with hybrid nanoparticles and dust particles in two different phases. We have considered Fe2SO4 and Cu as nanoparticles dispersed in the base fluid water along with suspended dust particles. The set of partial differential equations is reduced by using apt similarity variables and boundary conditions to obtain ordinary differential equations. The numerical solution is approximated using MATLAB‐bvp4c adopting the shooting technique. The impact of numerous pertinent physical parameters on the velocity and thermal profiles is plotted and deliberated. Furthermore, the rate of heat flow and friction factor is also tabulated and visualized through the graphs. Streamlines are also drawn to know the behavior of the fluid flow. The rise in values of ME quickly increases the velocity of the fluid motion but declines the thermal gradient and thickness of its related boundary layer. Also, inclining values of Pr enhance the thermal profile due to the impact of melting.
This paper explores the compressible dusty fluid flow between two spinning disks. The upper and lower disks rotate at an angular velocity equal to
Ω
1
and
Ω
2
respectively. Fluid and dust particles are considered to be dispersed axisymmetrically. The equations which represents the described flow are transformed into a set of ordinary differential equations which are nonlinear and coupled by opting suitable similarity variables. These equations are solved using the built-in bvp4c algorithm of MATLAB. The profiles of axial, radial, azimuthal velocity and thermal profiles are discussed through graphs for variations of non-dimensional parameters. It has been observed that the friction factor enhances with the upsurge in values of Hartmann number Ha and the Nusselt number declines for shoot up values of Eckert number. Also, the stretching parameter amplifies the friction factor and the Nusselt number.
The advancement of heat transportation is a significant phenomenon in nuclear reactors, solar collectors, heat exchangers, and electronic coolers; and it can be accomplished by choosing a nanofluid as the functional fluid. Nanofluids have improved thermophysical properties, due to their great progress in engineering and industrial applications. Therefore here, the significance of exponential space‐related heat source (ESHS) on radiative heat motivated Sakiadis two‐phase flow over a moving plate is analyzed for a particulate nanoliquid (CuO–H2O). The impact of the haphazard motion of nanoparticles is analyzed through the Koo–Kleinstreuer–Li model. On applying a similarity transformation to the governing equations, a set of ordinary differential equations is obtained and numerically solved. Through the perception of graphs, the behavior of the velocity and temperature constraints for diverse values of effective parameters is decoded. The results show that the temperature of both phases (dust and fluid) improves with the ESHS aspect. Also, the heat transport rate/friction factor enhances/declines with the concentration of dust particles.
This paper investigates the Sakiadis flow of a Al2O3‐H2O nanoliquid with consistently scattered dust particles over a vertical plate. To account for the effect of the Brownian movement, the Koo‐Kleinstreuer‐Li model is considered. In some thermal systems such as reactor safety areas, and solar collectors, combustion works from moderate to high temperature, making the relationship between the temperature and density nonlinear. To consider this temperature‐dependent density, the nonlinear Boussinesq estimation is utilized. The present physical structure, which includes energy and momentum equations, is converted into a system of ordinary, coupled, and nonlinear differential conditions through the help of similarity transformations. By using the finite difference code, the subsequent equations have been numerically solved. The impact on the velocity and the thermal profiles of the nondimensional parameters is visualized through graphs. Both the Nusselt number and friction factor strengthen with a higher nonlinear thermal parameter in the case of nonlinear Boussinesq approximation compared to the linear Boussinesq case. Growing estimations of nonlinear thermal parameter deteriorate the thermal profile but it boosts the velocity profile of both liquid and dust phases.
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