Steady state boundary layer equations of an upper convected Maxwell fluid with magnetohydrodynamic (MHD) flow are considered. The strength of the magnetic field is assumed to be variable with respect to the location. Using Lie group theory, group classification of the equations with respect to the variable magnetic field is performed. General boundary conditions including stretching sheet and i...

β-Sheet crystals play an important role in determining the stiffness, strength, and optical properties of silk and in the exhibition of silk-type-specific functions. It is important to elucidate the structural changes that occur during the stretching of silk fibres to understand the functions of different types of fibres. Herein, we elucidate the initial crystallisation behaviour of silk molecu...

The present article investigates viscous fluid flow’s heat and mass transfers over a stretching/shrinking sheet using the single multi-wall carbon nanotube models. analysis considers effects of thermal radiation, induced slip, transpiration, inclined magnetic force. effect model on flow has not been considered in previous studies. By exploiting similarity variable, governing nonlinear partial d...

This study aimed at investigating the variation of heat transfer and velocity changes fluid flow along vertical line on a surface drawn from both sides. In beginning, several parameters such as Prandtl number viscoelastic effect were evaluated for by iteration method. The results compared with numerical second part description relates to use Response method (RSM method) in Design Expert softwar...

The aim of this paper is to study the impact of Soret and Sherwood number on stretching sheet in presence of magnetic field in a porous medium. Using stream function, partial differential equations corresponding to the momentum energy and mass transfer are converted into non-linear coupled ordinary differential equations. Approximate solutions of these equations are obtained by using Homotopy a...

Numerical investigation of a chemically reactive second grade fluid flow towards an exponentially stretching sheet into porous medium induced by thermal and concentration slips boundary conditions is carried out. Further, nonlinear radiations, Joule heating, MHD thermophoretic impacts are also taken account. The modified Fourier Fick’s law used to analyse the solutal energy features. systems pa...

We consider bifurcations from the homogeneous solution of a circular or square hyperelastic sheet that is subjected to equibiaxial stretching under either force- displacement-controlled edge conditions. derive condition for axisymmetric necking and show, class strain-energy functions considered, critical stretch greater than Treloar–Kearsley (TK) instability less limiting-point instability. An ...

In this analysis, we considered a comparative study of micropolar Casson nanofluid flow on vertical nonlinear Riga stretching sheet. Effects thermal and velocity slip are under thermophoresis Brownian motions. Select PDEs transformed into coupled ODEs using the set suitable transformations. The solved through numerical technique along with Runge–Kutta 4th-order scheme. impacts pertinent paramet...