The propagation of magneto-thermoelastic plane waves in an initially stressed, homogeneous orthotropic, conducting half-space under a magnetic field, rotation and gravity field have been investigated. The generalized theory of thermoelasticity is employed, by assuming the mechanical behavior as dynamic, to study the problem. The Lame’s potential is used to obtain the frequency equation that determines the velocity of Rayleigh waves that obtained as a real part and the attenuation coefficient as an imaginary part under the rotation, magnetic field, initial stress and gravity field. Numerical results have been given and illustrated graphically for each case considered. Dispersion curves of wave propagation are represented graphically in different theories of thermoelasticity. The results indicate that the effect of rotation, initial stress and gravity field are very pronounced. Comparison is made with the results predicted by the theory of thermoelasticity in the absence of rotation, initial stress and gravity field.

Purpose: This article aims to describe the effect of an endoscope and heat transfer on the peristaltic flow of a Jeffrey fluid through the gap between concentric uniform tubes.Design/methodology/approach: The mathematical model of the present problem is carried out under long wavelength and low Reynolds number approximations. Analytical solutions for the velocity, temperature profiles, pressure gradient and volume flow rate are obtained.Findings: The results indicate that the effect of the wave amplitude, radius ratio, Grashof number, the ratio of relaxation to retardation times and the radius are very pronounced in the phenomena. Also, a comparison of obtaining an analytical solution against previous literatures shows satisfactory agreement.Originality/value: Analytical solutions for the velocity, temperature profiles, pressure gradient and volume flow rate are obtained. Numerical integration is performed to analyze the pressure rise and frictional forces on the inner and outer tubes.

One of the most significant techniques of heat exchange in manufacturing appliances is convective heat transfer which can be enhanced by porous media and magnetic fields in various applications such as improving dramatically the different thermal equipment performance. This study investigates magnetohydrodynamic Maxwell nanofluid saturated in a porous medium towards convectively heated extending cylinder with higher-order chemical reactions. The ordinary differential equations resolved by using the optimal homotopy analysis method. The impact of various relevant factors on the schemes of velocity, energy, and concentration is drawn via diagrams and discussed physically through graphs, and discussions. The correlation between current and previously published findings is noted for accuracy. It is found that the heat transfer enhances when the Biot number and order of chemical reaction increase. When, the parameter of reaction, magnetic field, permeability and Eckert number increase, the heat transfer diminishes. The rising values of Joule heating, chemical reaction and Biot number rises the mass transfer, but in the opposite direction the mass transfer is reduced as the magnetic parameter, permeability and the order of chemical reaction grow. This study will be helpful in studying the movement of water or oil and gas through the cylindrical tanks.

The present investigation studies the peristaltic flow of the Newtonian fluid model through an inclined asymmetric channel. Mathematical analysis has been carried out in the presence of an inclined magnetic field and heat and mass transfer in the peristaltic flow of blood fluid in an inclined asymmetric channel. The flow is examined in a wave frame of references moving with the velocity of the wave. The physical problem is the first model, and then, the analytical solution is carried out under long-wavelength and low Reynolds number approximation. Expressions of the velocity, temperature, concentration, pressure gradient, tangential stress, and heat transfer coefficient are obtained. The results in the pressure rise and frictional force have also been computed numerically. The effects of thermal radiation, Hartman number, thermal slip, Grashof number, phase difference, aligned magnetic field, and inclination of the asymmetric channel to the vertical are studied. Numerical results are graphically discussed for various values of physical parameters of interest and the phenomenon of trapping is also discussed.

The aim of this paper is to investigate the flow of MHD mixed convection nanofluid flow under nonlinear heated due to an extending surface. The transfer of heat in nanofluid subject to a magnetic field and boundary conditions of convective is studied to obtain the physical meaning of the convection phenomenon. The governing partial differential equations (PDEs) of the boundary layer are reduced to ordinary differential equations (ODEs) considering a technique of the transformation of similarity. The transformed equations are solved numerically considering the technique of an efficient numerical shooting applying the Runge–Kutta technique scheme from the fourth‐fifth order. The results corresponding to the dimensionless speed, temperature, concentration profiles, and the Nusselt number reduced, and the Sherwood numbers are presented by figures to display the physical meaning of the phenomena. A comparison has been made between the obtained results with the previous results obtained by others and agrees with them if the new parameters vanish. The results obtained indicate the impacts of the nondimensional governing parameters, namely, magnetic field parameter M, Soret number Sr, heat source λ, thermal buoyancy parameterλ_T , and solutal buoyancy parameterλ_C on the flow, temperature, and concentration profiles being discussed and presented graphically.