T.J. Thomson

Shuguang Li, V. Puneeth, A. M. Saeed, A. Singhal, Fuad A. M. Al-Yarimi, M. Khan, S. M. Eldin

In this article, the flow of ternary nanofluid is analysed past a stretching sheet subjected to Thomson and Troian slip condition along with the temperature jump. The ternary nanofluid is formed by suspending three different types of nanoparticles namely $$\text{TiO}_{2}, \text{Cu}$$ TiO 2 , Cu and $$\text{Ag}$$ Ag into water which acts as a base fluid and leads to the motion of nanoparticles. The high thermal conductivity and chemical stability of silver was the main cause for its suspension as the third nanoparticle into the hybrid nanofluid $$\text{Cu-TiO}_{2}/\text{H}_{2} \text{O}$$ Cu-TiO 2 / H 2 O . Thus, forming the ternary nanofluid $$\text{Ag-Cu-TiO}_{2}/\text{H}_{2} \text{O}$$ Ag-Cu-TiO 2 / H 2 O . The sheet is assumed to be vertically stretching where the gravitational force will have its impact in the form of free convection. Furthermore, the presence of radiation and heat source/sink is assumed so that the energy equation thus formed will be similar to most of the real life applications. The assumption mentioned here leads to the mathematical model framed using partial differential equations (PDE) which are further transformed to ordinary differential equations (ODE) using suitable similarity transformations. Thus, obtained system of equations is solved by incorporating the RKF-45 numerical technique. The results indicated that the increase in the suspension of silver nanoparticles enhanced the temperature and due to density, the velocity of the flow is reduced. The slip in the velocity decreased the flow speed while the temperature of the nanofluid was observed to be increasing.

Elsayed M. Abd‐Elaziz, M. Marin, M. Othman

The present work investigated the effect of Thomson and initial stress in a thermo-porous elastic solid under G-N electromagnetic theory. The Thomson coefficient affects the heat condition equation. A constant Thomson coefficient, instead of traditionally a constant Seebeck coefficient, is assumed. The charge density of the induced electric current is taken as a function of time. A normal mode method is proposed to analyze the problem and to obtain numerical solutions. The results that were obtained for all physical sizes are graphically illustrated and we offer a comparison between the type II G-N theory and the G-N theory of type III, both in the present case and in the absence of specific parameters, as initial stress, pores and the Thomson effect. Some particular cases are also discussed in the context of the problem. The results indicate that the effect of initial stress, Thomson coefficient effect, and magnetic field are very pronounced.

K. Lotfy, W. Hassan, A. El-bary, Mona Ahmed Kadry

Abstract In this article, the novel mathematical model under the effect of Thomson heating of a semi-infinite semiconductor elastic medium is expressed. The thermoelasticity theory is applied in the presence of magnetic field when the medium illuminated by a laser pulse in context of photothermal excitation. The discussions are focused on studying the overlapping between plasma, thermal, electro-magnetic and elastic waves when they propagated in the medium. The two dimensional (2D) deformations is used in the governing equations when the medium is homogenous and isotropic. The charge density of induced electric current is expressed for a time functionally only. The physical fields are obtained when use the normal mode technique with some thermal, mechanical and plasma loads occur at the free surface of elastic semi-infinite semiconductor medium. The numerical calculations of physical field's distributions are discussed and shown graphically under the effect of Thomson parameter.

S. Nadeem, Shafiq Ahmad, M. N. Khan

K. Lotfy, A. El-bary, W. Hassan, A. Alharbi, M. Almatrafi

Abstract The effect of rotation and hydrostatic initial stresses during electromagnetic field which is fallen on the outer surface of semiconductor medium is studied. The Thomson influence in context of photo thermal excitation process is investigated. The thermoelectricity theory is applied explain the waves behavior in the elastic semiconductor homogenous, isotropic medium. The governing equations describe the overlapping between plasma, electro-magnetic and elastic waves in two dimensional deformations when the medium is in rotation. The induced electric current is studied only when the charge density is a function of time. The normal mode analysis is a mathematical method which is used to get the physical fields distributions under investigation. The mechanical forces, electromagnetic effects thermal loads and plasma diffusion recombination process are taken at the outer free surface of the medium to obtain the complete solutions. All distributions of waves of physical quantities are represented graphically and discussed under the influence of rotation, initial stresses and Thomson parameter.