Bejan's flow visualization of buoyancy-driven flow of a hydromagnetic Casson fluid from an isothermal wavy surface

Abstract

The proposed work numerically investigates the buoyancy-driven flow of Casson fluid from a vertical wavy surface under the influence of a magnetic field and evaluates the underlying transport of heat in the free convective regime both quantitatively and qualitatively. Pertaining to this analysis, the primitive forms of coupled non-linear partial differential equations are evaluated with the help of an efficient and straightforward Crank–Nicolson implicit finite difference technique. By representing the graphical plots of flow velocity, temperature, and friction-factor coefficients, obtained for different physical parametric values pertinent to this analysis, we discuss the influence of the Hartmann number, surface waviness parameter, and rheological parameter of the fluid on the underlying thermohydrodynamics. In addition to the isotherm and streamline plots, by demonstrating the functional form, we discuss an extensive flow visualization technique that provides unique heat flow visualization for the wavy surface based on Bejan's heat function concept. The results indicate that for increasing the magnitude of the magnetic parameter, the evolution of isotherms, streamlines, and heatlines deviates periodically with a higher amplitude, which signifies the transfer of high heat energy as well as the efficient transport of heat in the convective regime.

Insight into the Dynamics of Fractional Maxwell Nano-Fluids Subject to Entropy Generation, Lorentz Force and Heat Source via Finite Difference Scheme

“…B. Mahathish numerically investigates the effects of quadratic variation of density-temperature (quadratic convection) and the quadratic Rosseland thermal radiation using the modified Bongiorno Model (MBM) [ 35 ]. Similar analytical as well as numerical approaches can be seen in [ 36 , 37 , 38 , 39 ] for such different viscoelastic models.…”

Characterization of fluid flow and heat transfer of a periodic magnetohydrodynamics nano non‐Newtonian liquid with Arrhenius activation energy and nonlinear radiation

“…By adding a magnetic field in the whole domain, another natural convective MHD Casson fluid model on a vertical wavy surface was expressed by Kumar and Mondal. 31 In addition, A periodic MHD Casson fluid flow model with nanomaterials over a porous media was reported by Al-Mamun et al 32 However, the nanofluidic media has always been obtained and stabilized by the expelled magnetic field. 33 Furthermore, several noteworthy investigations on the dynamics of fluids under the action of Lorentz forces have lately been completed.…”

“…Ali et al 30 developed another non‐Newtonian pulsatile Casson fluid model by imposing Lorentz force through a porous channel and concluded that the shear stress of the channel wall declines with growing the value of the porosity parameter. By adding a magnetic field in the whole domain, another natural convective MHD Casson fluid model on a vertical wavy surface was expressed by Kumar and Mondal 31 . In addition, A periodic MHD Casson fluid flow model with nanomaterials over a porous media was reported by Al‐Mamun et al 32 However, the nanofluidic media has always been obtained and stabilized by the expelled magnetic field 33 .…”

A modified viscosity approach for shear thinning lubricants

“…The latter is appealing for studies involving large meshes. However, there are several cases where this approach cannot be used, such as (i) two-dimensional problems that generally do not yield an analytical Reynolds equation, (ii) cases involving cavitation or transient effects, and (iii) lubricants that obey complicated constitutive relations, 17 such as the differential types commonly used to couple shear thinning and viscoelasticity, [18][19][20] and couple stress fluids. 21…”

“…In this section, we apply our new approach to the plane slider but use the more sensitive Bair-Winer constitutive relation [Eq. (17)]. Similarly to the analyses conducted for the ridge, we examine the capacity of the MV approach in accurately predicting both the load and the pressure peak and comment on its computational efficiency.…”