Hall effects on radiated magneto-power-law fluid flow over a stretching surface with power-law velocity slip effect

Abstract

PurposeThis paper aims to assess the effectiveness of Hall currents and power-law slip condition on the hydromagnetic convective flow of an electrically conducting power-law fluid over an exponentially stretching sheet under the effect of a strong variable magnetic field and thermal radiation. Flow formation is developed using the rheological expression of a power-law fluid.Design/methodology/approachThe nonlinear partial differential equations describing the flow are transformed into the nonlinear ordinary differential equations by employing the local similarity transformations and then solved numerically by an effective numerical approach, namely, fourth-order Runge–Kutta integration scheme, along with the shooting iteration technique. The numerical solution is computed for different parameters by using the computational software MATLAB bvp4c. The bvp4c function uses the finite difference code as the default. This method is a fourth-order collocation method. The impacts of thermophysical parameters on velocity and temperature distributions, skin friction coefficients and Nusselt number in the boundary layer regime are exhibited through graphs and tables and deliberated with proper physical justification.FindingsOur investigation conveys that Hall current has an enhancing behavior on velocity profiles and reduces skin friction coefficients. An increase in the power-law index is observed to deplete velocity and temperature evolution. The temperature for the pseudo-plastic (shear-thinning) fluid is relatively higher than the corresponding temperature of the dilatant (shear-thickening) fluid. The streamlines are more distorted and have low intensity near the surface of the sheet for the dilatant fluid than the pseudo-plastic fluid.Social implicationsThe study is pertinent to the expulsion of polymer sheet and photographic films, hydrometallurgical industry, electrically conducting polymer dynamics, magnetic material processing, solutions and melts of polymer processing, purification of molten metals from nonmetallic. The results obtained in this work can be relevant in fluid mechanics and heat transfer applications.Originality/valueThe present problem has, to the authors' knowledge, not communicated thus far in the scientific literature. A comparative study with the published works is conducted to verify the accuracy of the present study. The results obtained in this analysis are significant in providing the standards for validating the accuracies of some numerical or empirical methods.

MHD gyrating stream of non‐Newtonian modified hybrid nanofluid past a vertical plate with ramped motion, Newtonian heating and Hall currents

“…The numerical and graphical outcomes are performed using computational software Mathematica 12.0 . For graphical explorations, we have fixed numerical data in accordance with the investigation [36, 38]: $$M^2=10$$, $$m=0.5$$, $$K^2=2$$, $$Gr=5$$, $$\beta =2.0$$, $$Da=0.5$$, $$Ra=1.0$$, $$\alpha _0=0.5$$, $$\tau =0.5$$, $$\phi _1=0.04$$, $$\phi _2=0.04$$, $$\phi _3=0.10$$ unless otherwise specified. A comparative evolution has been conducted for MHNFs (GO–Al 2 O 3 –CuO/SA) and HNFs (GO‐Al 2 O 3 /SA).…”

“…They found the augmenting attitude of Hall current on skin friction. Ali et al [36] exposed the consequence of Hall currents on magneto-power-law fluid past a flexible surface. Their outcomes concluded that Hall currents enhance the flow stream by dominating resistance due to skin friction of the stretching surface.…”

EMHD radiating fluid flow along a vertical Riga plate with suction in a rotating system

“…Electrically conducting fluids in MHD flows have captivated many investigators for their medley applications in engineering assignments, see Refs. [4][5][6][7][8][9][10][11][12]. But unfortunately, a large electrical conductivity is not often contained by all the available fluids.…”

Radiative CNT‐based hybrid magneto‐nanoliquid flow over an extending curved surface with slippage and convective heating

“…In general, no‐slip boundary constraint is inadequate to simulate the flow model of a hybrid nanoliquid due to relative motion between surfaces and nanoparticles. The slippage phenomenon has vital practical applications in biomedical engineering (making artificial arteries and heart balloons and polishing artificial heart valves and internal cavities), processes of pipe and wire productions, lubrication of mechanical devices, melting process and extrusion of polymeric materials, biological fluid, rarefied gas flows in microscale tools, and so on 97‐100 . Nowadays, three types of slippage phenomena, first order (Maxwell‐Smoluchowski slip model), second order, and 1.5 orders, are getting more attention from the researchers.…”

“…The slippage phenomenon has vital practical applications in biomedical engineering (making artificial arteries and heart balloons and polishing artificial heart valves and internal cavities), processes of pipe and wire productions, lubrication of mechanical devices, melting process and extrusion of polymeric materials, biological fluid, rarefied gas flows in microscale tools, and so on. [97][98][99][100] Nowadays, three types of slippage phenomena, first order (Maxwell-Smoluchowski slip model), second order, and 1.5 orders, are getting more attention from the researchers. The first-order slip model is widely investigated, but there is very less literature regarding the second-order slip flow over a stretching curved surface in the curvilinear coordinate system.…”