International Journal of Emerging Multidisciplinaries: Mathematics

Dielectric Properties of PVDF and G4/T10/PVDF Composites Using The Debye Relaxation Model

2026-07-31T18:45:24+00:00

The demand for advanced radar absorbing materials (RAMs) in stealth technology and electromagnetic interference (EMI) shielding necessitates the development of lightweight, highly efficient polymer composites. This work investigates the frequency and temperature dependent dielectric properties of polyvinylidene fluoride (PVDF) and (G4/T10/PVDF). Utilizing the Debye relaxation model, a computational framework was developed using Maple 18 to simulate the dielectric constant and loss factor across the microwave frequency range of 0.50 to 21.0 GHz and temperatures from 20 °C to 100 °C. Results indicate that the dielectric constant of both materials exhibits typical dispersion behavior, decreasing with increasing frequency. However, the G4/T10/PVDF composite demonstrates significantly enhanced dielectric properties, with a dielectric constant of 42.0 compared to 20.5 for PVDF at 0.5 GHz. This behaviour exhibited by G4/T10/PVDF showed that even as the frequency and temperature become very high G4/T10/PVDF does not produce too much heat which may be the reason for reducing object detectability and electromagnetic interference (EMI) by radar.

Numerical Investigation of MHD Radiative Sisko Fluid Flow over a Stretching Sheet with Wall Transpiration and Convective Boundary Conditio

2026-07-23T14:19:07+00:00

The present research is to examine the magnetohydrodynamic (MHD) radiative characteristics of flow and heat transfer of a Sisko fluid over a stretching permeable sheet with the convective boundary conditions. To simulate the real industrial thermal process, Sisko fluid incorporated with different effects such as thermal radiation, magnetic field and suction/injection. Governing nonlinear partial differential equations for momentum and energy transport are transformed into a system of nonlinear ordinary differential equations via appropriate similarity transformations. We solved the boundary value problem numerically using MATLAB, via the solver bvp4c. The influences of the magnetic parameter, radiation parameter, Biot number, suction/injection parameter, and Sisko fluid parameter on the velocity and temperature distributions are analyzed in detail. The numerical results reveal that the applied magnetic field suppresses fluid motion due to the Lorentz force while enhancing the thermal field within the boundary layer. Thermal radiation significantly increases the temperature distribution and thermal boundary-layer thickness. Furthermore, higher Biot numbers strengthen convective heating at the surface, whereas suction improves heat transfer performance by reducing boundary-layer thickness. The rheological characteristics of the Sisko fluid are found to play a crucial role in controlling both momentum and heat transfer behavior. The variations in the skin-friction coefficient and local Nusselt number are also examined to quantify the effects of the governing parameters on surface drag and heat transfer rate. The present investigation provides useful insights into coupled MHD and radiative transport phenomena in Sisko fluids and applicable in polymer processing, thermal engineering systems, coating technologies, and other industrial heat-transfer operations involving nonNewtonian fluids.

Combined Effects of Viscous Dissipation, Joule Heating and Thermal Radiation on MHD Axisymmetric Flow of Power-Law Fluid over an Unsteady Stretching Sheet

2026-07-14T16:48:00+00:00

In this study, the axisymmetric unsteady magneto-hydrodynamic flow of power-law fluid is studied. The combined effects of viscous dissipation and joule heating are added in over a stretching sheet, and thermal radiation. A set of nonlinear partial differential equations is converted to A system of ordinary differential equations are solved by appropriate similarity transformations. The shooting method is used together with a numerical method to solve a boundary value problem. Using a 4th order Runge–Kutta method. The effect of the important dimensionless parameters such as the magnetic parameter, power-law index and the ratio of the magnetic field intensity to the initial seed magnetic field intensity are investigated. on the velocity and temperature, index, unsteadiness parameter, thermal radiation and Biot number. distributions is investigated in detail. Besides, the viscous dissipation effects were included in the analysis. The contribution of thermal through the Eckert number and Joule heating is considered. Enhancement in the boundary layer. The results showed that there was an increase in the magnetic field strength of the magnets as the number of magnets increased. parameter causes a significant decrease in the flow velocity, because of the resisting Lorentz force, and viscous parameter causes a significant decrease in the viscosity of the medium. dissipation and Joule heating contribute to an enhancement in the temperature field. Furthermore, the thickness of the thermal boundary layer is seen to increase as the thermal radiation increases. It is the important engineering quantities like skin friction coefficient and local Nusselt number. The same applies to finding the analyses of the parameters. The present study gives a detailed knowledge of the interaction of several physical processes on the flow of non-Newtonian fluids, might be useful in various industrial and engineering applications.