Nanofluids have a wide range of applications in biological research. They are employed targeted medication administration, hyperthermia (for cancer treatment) and differential diagnostics like magnetic resonance image (MRI). In light these medical applications, the impact an external field exponential heat source on dynamics [Formula: see text]–[Formula: text] over nonlinearly stretched surface has been investigated. A realistic modified Buongiorno model used which includes effects reaction...

In this article, based on three-dimensional thermoelasticity, an exact analysis of the free vibrations a simply supported, homogeneous, transversely isotropic, cylindrical panel is presented in context L ord-Shulman (L S), Green-L indsay (GL), and Green-Nagdhi (GN) theories thermoelasticity. Three displacement potential functions are introduced so that equations motion heat conduction uncoupled simplified. It noticed purely transverse mode independent temperature change rest motion. The for...

The primary objective of this study is to advance the development a procedure for predicting terminal vibrational temperatures in free−jet flows either pure gases or gas mixtures. A secondary apply (a) CO2 and (b) dilute binary mixtures N2 H2. Predictions are based on sudden−freeze model described by Knuth [Proceedings 1972 Heat Transfer Fluid Mechanics Institute (Stanford U. P., Stanford, California, 1972)]. pressure temperature dependence relaxation time, required application Knuth’s...

In this article, a model concerning free vibrations of spherically symmetric, thermoelastic, isotropic, and functionally graded sphere has been developed analyzed in the context linear theory generalized thermoelasticity with one relaxation time. Laplace transform used to solve problem which yields natural frequencies without performing inversion transform. The analytical results for coupled, uncoupled, homogeneous spheres have deduced as special cases general case. Natural first 10 modes...

The forced vibration analysis of nonhomogeneous thermoelastic, isotropic, thin annular disk under periodic and exponential types axisymmetric dynamic pressures applied on its inner boundary has been performed analytical benchmark solution obtained. material assumed to have inhomogeneity according a simple power law in the radial coordinate. present worked out context generalized theory thermoelasticity with one relaxation time. two coupled partial differential equations clubbed solved by...

In this paper, non-linear dependence of volume fraction inclusions on the effective thermal conductivity composite materials is investigated. Proposed approximation formula based Maxwell’s equation, in that a term dependent and ratio conductivities polymer continuum introduced place inclusions. The modified equation used to calculate several agreed well with earlier experimental results. A comparison proposed relation different models has also been made.

Abstract The paper is concerned with the investigation of steady-state response an applied load moving constant speed for infinite long time over top surface a homogeneous thermoelastic layer lying half-space. governing field equations motion and heat conduction have been solved by using Fourier transform technique. algebraic expressions as function horizontal distance displacements temperature change obtained are valid all epicentral distances. so in physical domain at free its interface...

Abstract A mathematical model is formulated to study the thermoelastic diffusion in plate using two temperature fractional order theory materials having temperature‐dependent elastic properties. Governing equations for considered two‐dimensional problem are deduced. The as unstrained and unstressed at uniform initially. non‐dimensionalized simplified by making use of potential functions. combination Laplace Fourier transform used reduce ordinary differential equations. arbitrary constants...

Viscoelastic materials (elastomers, resins, and polycrystalline metals) are of significant importance due to their numerous applications in biology, civil, mechanical engineering alongwith other scientific disciplines. possess strong relation with temperature diffusion phenomenon properties exhibit memory dependence. With this view, fractional order strain is considered study thermoviscoelastic interactions the context hyperbolic two-temperature-three-phase lag model. The investigation...

Combined heat and mass transfer along an infinite vertical porous plate have been investigated when the temperature concentration are assumed to oscillate in time about a constant mean. Assuming suction at plate, approximate solutions calculated by perturbation method for transient velocity, concentration. The effects of various parameters on temperature, concentration, skin-friction, rate discussed with help graphs tables.

The motive of this work is to figure out the impact hyperbolic two temperature on forced vibrations thermodiffusive axisymmetric half-space in framework fractional thermoelastic diffusion with three-phase lags. governing equations are simplified by introducing potential functions and solved applying Laplace Hankel transform techniques. boundary surface restricted thermal, mechanical, mass concentration loads. expressions for field quantities closed form obtained analytically. To convert into...

This article explores the effects of two temperatures on combined problem wave propagation and thermomechanical loading in a homogeneous isotropic plate. The governing equations are converted to non-dimensional form, potential functions introduced simplify problem. plate's surfaces assumed be traction-free, rigidly fixed, thermally insulated isothermal study phenomenon. Secular closed form isolated mathematical conditions for symmetric skew-symmetric mode derived. phase velocity attenuation...