Keller-Box shooting method and its application to nanofluid flow over convectively heated sheet with stability and convergence

In this study, two-phase asymmetric peristaltic Carreau-Yasuda nanofluid flow in a vertical and tapered wavy channel is demonstrated and the mixed heat transfer analysis is considered for it. For the modeling, two-phase method is considered to be able to study the nanoparticles concentration as a separate phase. Also it is assumed that peristaltic waves travel along X-axis at a constant speed, c. Furthermore, constant temperatures and constant nanoparticle concentrations are considered for both, left and right walls. This study aims at an analytical solution of the problem by means of least square method (LSM) using the Maple 15.0 mathematical software. Numerical outcomes will be compared. Finally, the effects of most important parameters (Weissenberg number, Prandtl number, Brownian motion parameter, thermophoresis parameter, local temperature and nanoparticle Grashof numbers) on the velocities, temperature and nanoparticles concentration functions are presented. As an important outcome, on the left side of the channel, increasing the Grashof numbers leads to a reduction in velocity profiles, while on the right side, it is the other way around.

Download Full-text

A comprehensive review on heat transfer enhancement and pressure drop characteristics of nanofluid flow through micro-channels

Annales de Chimie Science des Matériaux ◽

10.3166/acsm.42.363-385 ◽

2018 ◽

Vol 42 (3) ◽

pp. 363-385

Author(s):

Prathvi Raj CHAUHAN ◽

Rajan KUMAR

Keyword(s):

Heat Transfer ◽

Pressure Drop ◽

Heat Transfer Enhancement ◽

Transfer Enhancement ◽

Nanofluid Flow ◽

Comprehensive Review ◽

Micro Channels ◽

Flow Through

Download Full-text

Copper oxide-water nanofluid flow within an annulus shaped cavity: A numerical study on natural convective heat transfer

Annales de Chimie Science des Matériaux ◽

10.3166/acsm.41.239-260 ◽

2018 ◽

Vol 41 (3-4) ◽

pp. 239-260 ◽

Cited By ~ 1

Author(s):

M.J. UDDIN ◽

M. A. HALIM ◽

M. MOHIUDDIN

Keyword(s):

Heat Transfer ◽

Copper Oxide ◽

Convective Heat Transfer ◽

Convective Heat ◽

Numerical Study ◽

Nanofluid Flow

Download Full-text

Effect of Viscous Dissipation on MHD Williamson Nanofluid Flow in a Porous Medium

International Journal of Recent Technology and Engineering - 2 ◽

10.35940/ijrte.c4861.098319 ◽

2019 ◽

Vol 8 (3) ◽

pp. 5795-5802 ◽

Cited By ~ 1

Keyword(s):

Porous Medium ◽

Steady State ◽

Numerical Solution ◽

Viscous Dissipation ◽

Flow Problem ◽

Numerical Study ◽

Steady State Flow ◽

Nanofluid Flow ◽

Shooting Technique ◽

Order Four

The main objective of this paper is to focus on a numerical study of viscous dissipation effect on the steady state flow of MHD Williamson nanofluid. A mathematical modeled which resembles the physical flow problem has been developed. By using an appropriate transformation, we converted the system of dimensional PDEs (nonlinear) into coupled dimensionless ODEs. The numerical solution of these modeled ordinary differential equations (ODEs) is achieved by utilizing shooting technique together with Adams-Bashforth Moulton method of order four. Finally, the results of discussed for different parameters through graphs and tables.

Download Full-text