Abstract
This study investigates the flow of heat and mass transport of an incompressible MHD Cross fluid over a nonlinear curved stretching sheet. Heat transport incorporates viscous dissipation, radiative flux, and surface heating, whereas the fluid concentration is distressed with the first-order chemical reaction. A radially varying applied magnetic field is considered to examine the effect of Lorentz force and Ohmic heating. The rheology of the fluid is theoretically modeled and constitute a novel work for the completeness of shear thinning and thickening fluids over curved structure. Similarity method is utilized to reduce the governing system of PDE’s into ODE’s. Numerical computation through Runge-Kutta fourth order with shooting technique is implemented by the first initialized higher-order system into the first ODEs. The behaviors of the flow quantities—velocity, temperature, and concentration—are graphically analyzed against the parameters, including radius of curvature, fluid rheology, radiation, and rate of reactions. The numerical results are validated in comparison with the published results. Studies of Newtonian fluids on flat and curved surfaces are the special cases of this work. The results are useful in material processing and polymer dynamics involving stretchable materials.
Highlights
Fluid flow past a stretching sheet has been discussed extensively due to its practical applications in science and engineering
Weissenberg number (We) conclude that the flow trajectories can be controlled/regulated with the geometry parameter, body force, and induced stretching index
This study investigated the nonlinear radiative heat and mass transport of MHD fluid developed by non-linear stretching of the curved surface
Summary
Fluid flow past a stretching sheet has been discussed extensively due to its practical applications in science and engineering. In view of the abovecited literature, no investigation has been made on the stretching problem of non-Newtonian Cross fluid in curved geometry The objective of this investigation is to envisage the fluid velocity, heat transport, and concentration developed in manufacturing and engineering processes under desirable flow conditions. Quantities like surface drag force, heat, and mass transfer rate are influential in fluid flow control and thermal regulation from an engineering and practical point of view These physical quantities for the Cross fluid are calculated as follows: Cf. The transformed system of nonlinear ODEs gotten in Eqs. 19, 31, 32 together with the conditions given in Eqs. 20, 33, 34 are numerically solved using the Runge-Kutta (RK) fourth order with shooting technique. The algorithm is implemented through ode built-in MATLAB command with the step size of (δη 10−2) and tolerance error of 10−8 to obtain the numerical results
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