scholarly journals Mathematical fractional modeling of transpot phenomena of viscous fluid-flow between two plates

2021 ◽  
Vol 25 (Spec. issue 2) ◽  
pp. 417-421
Author(s):  
Muhammad Asadullah ◽  
Ali Raza ◽  
Muhammad Ikram ◽  
Muhammad Asjad ◽  
Rabia Naz ◽  
...  
Keyword(s):  
Heat Transfer ◽  
Fluid Flow ◽  
Governing Equations ◽  
Viscous Fluid Flow ◽  
Physical Behavior ◽  
Fractional Modeling ◽  
Laplace Transform Technique ◽  
Mass And Heat Transfer ◽  
Transfer Flow ◽  
Adhesive Fluid

This work is about the mass and heat transfer flow for adhesive fluid between two upright plates pulled apart by a distance, d. Fractional model of the considered problem is developed after making governing equations dimensionless. Laplace transform technique is utilized to acquire analytical solutions and some graphics are presented to see the physical behavior of embedded parameters.

UNSTEADY HEAT TRANSFER FLOW OF A CASSON FLUID WITH NEWTONIAN HEATING AND THERMAL RADIATION

2016 ◽  
Vol 78 (4-4) ◽  
Author(s):  
Abid Hussanan ◽  
Mohd Zuki Salleh ◽  
Ilyas Khan ◽  
Razman Mat Tahar
Keyword(s):  
Heat Transfer ◽  
Thermal Radiation ◽  
Vertical Plate ◽  
Casson Fluid ◽  
Newtonian Heating ◽  
Governing Equations ◽  
Unsteady Heat Transfer ◽  
Laplace Transform Technique ◽  
Limiting Case ◽  
Transfer Flow

This study investigates the unsteady heat transfer flow of a non-Newtonian Casson fluid over an oscillating vertical plate with Newtonian heating on the wall under the effects of thermal radiation. With the help of non-dimensional variables, governing equations are written into dimensionless form and then solved analytically by Laplace transform technique to find the solutions of temperature and velocity. The corresponding solutions of Nusselt number and skin friction are also calculated. The solution in term of viscous fluid is recovered as a limiting case of this work. The effects of the pertinent parameters on temperature and velocity are presented graphically and discussed details in this paper.  

scholarly journals Dispersion of metallic/ceramic matrix nanocomposite material through porous surfaces in magnetized hybrid nanofluids flow with shape and size effects

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
M. Zubair Akbar Qureshi ◽  
S. Bilal ◽  
M. Y. Malik ◽  
Qadeer Raza ◽  
El-Sayed M. Sherif ◽  
...  
Keyword(s):  
Heat Transfer ◽  
Fluid Flow ◽  
Viscous Fluid ◽  
Metallic Matrix ◽  
Ceramic Matrix ◽  
Physical Parameters ◽  
Viscous Fluid Flow ◽  
Hybrid Nanofluids ◽  
Matrix Nanocomposites ◽  
Matrix Nanocomposite

AbstractMatrix nanocomposites are high performance materials possessing unusual features along with unique design possibilities. Due to extraordinary thermophysical characteristic contained by these matrix nanocomposites materials they are useful in several areas ranging from packaging to biomedical applications. Being an environment friendly, utilization of nanocomposites offer new technological opportunities for several sectors of aerospace, automotive, electronics and biotechnology. In this regards, current pagination is devoted to analyze thermal features of viscous fluid flow between orthogonally rotating disks with inclusion of metallic matrix nanocomposite (MMNC) and ceramic matrix nanocomposites (CMNC) materials. Morphological aspects of these nanomaterials on flow and heat transfer characteristics has been investigated on hybrid viscous fluid flow. Mathematical structuring of problem along with empirical relations for nanocomposites materials are formulated in the form of partial differential equations and later on converted into ordinary differential expressions by using suitable variables. Solution of constructed coupled differential system is found by collaboration of Runge–Kutta and shooting methods. Variation in skin friction coefficient at lower and upper walls of disks along with measurement about heat transfer rate are calculated against governing physical parameters. Impact of flow concerning variables on axial, radial components of velocity and temperature distribution are also evaluated. Contour plots are also drawn to explore heat and thermal profiles. Comparison and critical analysis of MMNc and CMNc have been presented at lower and upper porous disks. Our computed analysis indicates that hybrid nanofluids show significant influence as compared to simple nanofluids with the permutation of the different shape factors.

scholarly journals The Influence of Different Types of Nanofluid on Thermal and Fluid Flow Performance of Liquid Cold Plate

2018 ◽  
Vol 7 (4.35) ◽  
pp. 148 ◽  
Author(s):  
Nur Irmawati Om ◽  
Rozli Zulkifli ◽  
P. Gunnasegaran
Keyword(s):  
Heat Transfer ◽  
Fluid Flow ◽  
Steady State ◽  
Pressure Drop ◽  
Volume Fraction ◽  
Cold Plate ◽  
Governing Equations ◽  
Flow And Heat Transfer ◽  
Different Types ◽  
Volume Method

The influence of utilizing different nanofluids types on the liquid cold plate (LCP) is numerically investigated. The thermal and fluid flow performance of LCP is examined by using pure ethylene glycol (EG), Al2O3-EG and CuO-EG. The volume fraction of the nanoparticle for both nanofluid is 2%. The finite volume method (FVM) has been used to solved 3-D steady state, laminar flow and heat transfer governing equations. The presented results indicate that Al2O3-EG able to provide the lowest surface temperature of the heater block followed by CuO-EG and EG, respectively. It is also found that the pressure drop and friction factor are higher for Al2O3-EG and CuO-EG compared to the pure EG.

Combined Effects of Temperature and Velocity Jump on the Heat Transfer, Fluid Flow, and Entropy Generation Over a Single Rotating Disk

2010 ◽  
Vol 132 (11) ◽  
Author(s):  
A. Arikoglu ◽  
G. Komurgoz ◽  
I. Ozkol ◽  
A. Y. Gunes
Keyword(s):  
Heat Transfer ◽  
Fluid Flow ◽  
Entropy Generation ◽  
Rotating Disk ◽  
Heat Transfer Fluid ◽  
Combined Effects ◽  
Jump Conditions ◽  
Governing Equations ◽  
Velocity Jump ◽  
Effects Of Temperature

The present work examines the effects of temperature and velocity jump conditions on heat transfer, fluid flow, and entropy generation. As the physical model, the axially symmetrical steady flow of a Newtonian ambient fluid over a single rotating disk is chosen. The related nonlinear governing equations for flow and thermal fields are reduced to ordinary differential equations by applying so-called classical approach, which was first introduced by von Karman. Instead of a numerical method, a recently developed popular semi numerical-analytical technique; differential transform method is employed to solve the reduced governing equations under the assumptions of velocity and thermal jump conditions on the disk surface. The combined effects of the velocity slip and temperature jump on the thermal and flow fields are investigated in great detail for different values of the nondimensional field parameters. In order to evaluate the efficiency of such rotating fluidic system, the entropy generation equation is derived and nondimensionalized. Additionally, special attention has been given to entropy generation, its characteristic and dependency on various parameters, i.e., group parameter, Kn and Re numbers, etc. It is observed that thermal and velocity jump strongly reduce the magnitude of entropy generation throughout the flow domain. As a result, the efficiency of the related physical system increases. A noticeable objective of this study is to give an open form solution of nonlinear field equations. The reduced recurative form of the governing equations presented gives the reader an opportunity to see the solution in open series form.

Asymptotic estimates for a semigroup related to compressible viscous fluid flow

Analysis ◽  
2007 ◽  
Vol 27 (1) ◽  
Author(s):  
Gerhard Ströhmer
Keyword(s):  
Fluid Flow ◽  
Viscous Fluid ◽  
Linear Stability ◽  
Analytic Semigroup ◽  
Spherically Symmetric ◽  
Asymptotic Estimates ◽  
Governing Equations ◽  
Symmetric Equilibrium ◽  
Compressible Viscous Fluid ◽  
Viscous Fluid Flow

The paper is related to the question of stability for the motionless spherically symmetric equilibrium states of viscous, barotropic, self-gravitating fluids. It considers a perturbation of the linearization of the governing equations of this problem, taking a step in the derivation of estimates which will allow us to prove non-linear stability of the equilibria. The perturbed operator, like the linearization considered earlier, generates an analytic semigroup, which allows us to derive asymptotic estimates as

scholarly journals Radiation and Chemical Reaction Effects on Unsteady Double Diffusive Convective Flow past an Oscillating Surface with Constant Heat Flux

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Arpita Jain
Keyword(s):  
Chemical Reaction ◽  
Radiation Effects ◽  
Vertical Plate ◽  
Constant Heat Flux ◽  
Governing Equations ◽  
Flow Past ◽  
Constant Rate ◽  
Laplace Transform Technique ◽  
Flow Variables ◽  
Transfer Flow

This paper presents an analysis of combined heat and mass transfer flow past an oscillating vertical plate under the action of radiation effects and chemical reaction when heat is supplied to the plate at constant rate. The governing equations are solved in closed form by Laplace-transform technique. The results are obtained for temperature, concentration, velocity, skin friction, Nusselt number, and Sherwood number. The effects of various parameters on flow variables are illustrated graphically, and the physical aspects of the problem are discussed.

scholarly journals Effect of Thermo Diffusion on Mass And Heat Transfer Flow on Convective Viscous Electrically Conducting Fluid Through a Porous Medium Bounded by a Semi-Infinite Vertical Plate with Variable Electrically Conductivity Diffusion Thermo Chemical Reaction

2019 ◽  
Vol 9 (1S5) ◽  
pp. 284-287
Keyword(s):  
Heat Transfer ◽  
Thermal Diffusion ◽  
Diffusion Reaction ◽  
Element Analysis ◽  
Galerkin Finite Element ◽  
Electrically Conducting ◽  
Electrically Conducting Fluid ◽  
Mass And Heat Transfer ◽  
Transfer Flow ◽  
Infinite Vertical Plate

In this paper we investigate thermochemical diffusion reaction and effects of thermal diffusion on the mass and heat transfer flux Although the effects of thermal diffusion are vast, they can be transmitted through a very wide medium.. By employing Galerkin-finite element analysis the equations solved with three nodded line segments

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