Special Session 40: Advancements in Mathematical Theories of Complex Fluids and Differential Equations

Thermal and Solutal Diffusion with Viscous Dissipation in Thermally Radiative Biological nanofluids Flows in a Tapered Channel

Safia Akram National University of Sciences and Technology, Islamabad, Pakistan Pakistan Co-Author(s):

Abstract: This study investigates the combined effects of thermal and solutal diffusion, viscous dissipation, and thermal radiation on the peristaltic transport of magneto-pseudoplastic nanofluids in a tapered channel with slip boundary conditions. The analysis focuses on the behavior of biological flows, where non-Newtonian fluid characteristics are influenced by the presence of magnetic fields and nanoparticle suspension. The study employs a mathematical model based on the governing equations for mass, momentum, energy, and solute concentration, considering the effects of double diffusion convection and viscous dissipation. Thermal radiation is included to examine its influence on heat transfer in the biological system. The governing partial differential equations for momentum, energy, and solute concentration are formulated and solved using numerical techniques NDSolve in Mathematica. A comprehensive parametric analysis is conducted to explore the impacts of key factors, such as the magnetic field strength, slip parameters, thermal and solutal diffusivities, and the geometry of the tapered channel. The results reveal that thermal radiation and viscous dissipation significantly affect the temperature and concentration distributions, while the magnetic field and slip conditions alter the fluid velocity and streamline patterns. This research provides insights into the optimization of thermally radiative biological flow systems, with implications for medical treatments, biofluid dynamics, and enhanced drug delivery systems.

Peristaltic Flow of a Reiner-Philippoff Fluid in a symmetric channel

Maria Athar National University of Science and Technology Pakistan Co-Author(s):    Maria Athar, Khalid Saeed, Irfa Farooq, Qasim Bilal

Abstract: This article aims to analyze the peristaltic flow of Reiner-Philippoff fluid in a symmetrical channel. For this, significant physical phenomena like velocity, pressure gradient, pressure rise per wave length and streamlines are studied for various physical parameters arising in the flow. Reiner-Philippoff fluid model is based on non-linear stress deformation which considers both dilatant (shear thickening) and pseudo-plastic (shear thinning) behaviors. Such behaviors are frequently encountered in the various fields of engineering that involves flow of non-Newtonian fluids. In this peristaltic flow, low Reynolds number and long wavelength approximation are used for momentum equation to simplify the complicated partial differential equations governing the flow. Solution of the flow is discussed in graphical form for the parameters of physical interest. Graphical profiles for velocity, pressure gradient, pressure rise per wavelength and bolus movement are analyzed.

Non-Newtonian Nanofluid Flow Analysis in a Rotating Channel for the Photovoltaic Thermal System

Asim Aziz National University of Sciences and Technology Pakistan Co-Author(s):

Abstract: Photovoltaic thermal solar panel (PV-T) systems are new structures that rely on sustainable/renewable electricity production. The production of electricity through PV panels is affected significantly due to the operating temperature. Therefore, In the present investigation nanofluid based thermal cooling management model is proposed. Prototype theoretical/mathematical model for the carbon nanotube-based solar thermal collector is presented. The analysis is carried out to study the effect of rotation of the porous channel, linear thermal radiation and the uniformly distributed heat source on the heat transfer characteristics of the single-walled (SWCNT ) and multi-walled carbon nanotubes (MWCNT ). Due to the nonlinearity of the governing equations and the limitation of the exact methods, numerical similarity solutions are obtained for the boundary value problem. Influences of different parameters are observed through graphs on the nanofluid flow and temperature profiles.