Analytical and numerical solutions of the unsteady 2D flow of MHD fractional Maxwell fluid induced by variable pressure gradient

Mixed Convection Magnetohydrodynamics Flow of a Nanofluid with Heat Transfer: A Numerical Study

“…and for the fractional Maxwell fluid, we can define (see for details [29]) Applying operator (1 + 2 ( / )) on both sides of (42) and using above relations, the Nusselt number can be written as…”

“…It is now established experimentally as well as theoretically that the mathematical models derived with the help of fractional order derivatives simulate certain physical phenomenon more realistically, particularly for the systems wherein the hereditary effects are important as they depend on the past conditions. Recently fractional models have been developed and employed in many fields of science and engineering like fluid dynamics, electromagnetic, biopopulation models, viscoelasticity, optics, electro-chemistry, and signal processing in order to establish behavior of several physical quantities; see, for example, [28][29][30][31] and the references therein. For accurate modeling of damping, fractional models are used; the reader is referred to study the articles [32][33][34][35].…”

Effect of SWCNTs and MWCNTs Maxwell MHD nanofluid flow between two stretchable rotating disks under convective boundary conditions

“…Cao et al deliberated the numerical analysis for boundary layer heat transfer and flow of fractional viscoelastic Maxwell nanofluid over a moving plate in presence of the transverse magnetic field. Homotopy analysis method is applied to analyse the impact of stagnation point and magnetic field on flow, heat and mass transfer of Maxwell nanofluid flow over stretching sheet by taking thermophoresis under the convective boundary conditions by Bai et al Zhang et al scrutinized unsteady two‐dimensional (2D) flow and heat transfer analysis of MHD fractional Maxwell fluid in presence of variable pressure gradient. Jusoh et al publicized the MHD boundary layer 3D heat transfer and flow features of Maxwell nanofluid over a permeable stretching/shrinking surface under boundary conditions of convective type.…”

“…Sravanthi and Gorla investigated Maxwell nanofluid boundary layer flow, heat and mass transfer characteristics over stretching sheet saturated by porous media in the presence of convective boundary conditions, suction/injection and chemical reaction. Zhang et al analyzed the sway of various pertinent parameters on unsteady 2D MHD flow of Maxwell fluid over a rectangular pipe induced by the variable pressure gradient. They found that velocity upsurges with improving values of relaxation time and fractional parameter.…”

MHD Flow and Heat Transfer in Sodium Alginate Fluid with Thermal Radiation and Porosity Effects: Fractional Model of Atangana–Baleanu Derivative of Non-Local and Non-Singular Kernel

“…Recently, Shen et al [28] studied fractional Maxwell viscoelastic nanofluid for various particle shapes. A Caputo time-fractional derivative was implemented by Zhang et al [29] to acquire the numerical and analytical solutions for the problem of the 2D flow of Maxwell fluid under a variable pressure gradian gradient. They used the separation of the variables method to acquire the analytical solution, while for numerical solution, the finite difference method was used.…”