Unsteady flow and heat transfer of tangent‐hyperbolic fluid: Legendre wavelet‐based analysis

Abstract

The objective of the current article is to explore the unsteady flow and heat transfer of magnetohydrodynamics tangent‐hyperbolic fluid flow over a stretching sheet. The governing flow model is transformed into a nonlinear set of ordinary differential equations by utilizing the appropriate similarity techniques. A new modification is introduced into the traditional Legendre wavelet method to obtain the results of the model mentioned above. The classic wavelet scheme is unable to find the solution for an infinite domain. Hence, we successfully extended it for an infinite domain and used it to attain the significant findings of the fluid problem. Additionally, the study of emerging parameters on temperature and velocity profiles is reported graphically. The velocity behavior is decreasing for the physical parameters, namely, power‐lax index, unsteadiness, Hartmann number, and Weissenberg number. The temperature profile is an increasing function for power‐law index and Eckert number while the behavior is the opposite for the Prandtl number. Moreover, a tabular form comparison of outcomes with existing literature, convergence, and error analysis is provided in our study, which confirms the credibility of the suggested method. The obtained results endorse the credibility and reliability of the proposed method; therefore, it could be extended for other nonlinear problems of complex nature.

Heat generation/absorption on MHD flow of a micropolar fluid over a heated stretching surface in the presence of the boundary parameter

“…Farhan et al 25 investigated the impact of the difference in viscosity and thermal conductivity on a nonisothermal plane sheet with suction blowing. Also, several authors studied different aspects in various fluids and references are found therein 26–37 …”

Influence of Hall current effect on hybrid nanofluid flow over a slender stretching sheet with zero nanoparticle flux

“…A section of fluid dynamics allied to the measurement of an electrically conducting fluid in the appearance of the magnetic field is recognized as magnetohydrodynamics (MHD). [1][2][3][4][5][6][7] In numerous realistic applications that require a strong magnetic field and low electron density, Hall effects cannot be ignored, that is, once the intensity of the magnetic field is strong or fluid density is low, the Hall current occurrence is noteworthy. As electron transport induced electrons to move quicker than ions, as an impact isotropic conductivity is generated, this is familiarly known as Hall current.…”

Brownian motion and thermophoresis effects on MHD flow of viscoelastic fluid over stretching/shrinking sheet in the presence of thermal radiation and chemical reaction

“…Hamid et al 33 considered the Galerkin approach to analyze the MHD flow of nanofluid along converging/diverging channels. Usman et al 34 discussed unsteady flow and heat transfer of a tangent-hyperbolic fluid. Recently, Khan et al, 35 Soomro et al, 36 and Hamid et al 37 discussed Brownian motion and thermophoresis effects on nanofluid flow problems.…”