Thermally fully developed CNTs suspended nano fluid flow through annular sector duct

Abstract

Here we simulate hydrodynamically and thermally fully developed carbon nano tubes, ( CNTs) suspended nano fluid flow through annular sector duct. Hydrodynamic results are found by using no slip boundary condition on the solid walls of duct; whereas H1 and T thermally fully developed conditions are accounted to evaluate the thermal results. CNTs are considered to be single wall, ( SW)/multi walls, ( MW). Power-law discretized scheme is used to transform the non-linear cross sectional convection-diffusion terms in algebraic form by using the control volume based method. With the help semi-implicit method for pressure-linked equations-revised, ( SIMPLER), a system of discretized algebraic equations is solved. Forced convective flow is carried out for different annular configuration parameters and contribution of CNTs in base fluid (i.e. pure water) at Pr = 6.2. Limiting case friction factor and heat transfer results show good agreement with already published data.

Fully developed forced convection H2O-CuO nanofluid flow through concentric pipes annular sector duct by using KKL model

“…Fully developed forced convection flow of steady, incompressible and laminar nanofluid with constant properties, is carried out under the influence of Brownian motion. Under these conditions, laws of conservation of mass and momentum will become accordingly [34][35][36] :…”

“…Fully developed forced convection flow of steady, incompressible and laminar nanofluid with constant properties, is carried out under the influence of Brownian motion. Under these conditions, laws of conservation of mass and momentum will become accordingly 34–36 :where v = ( v r , v θ , v z ) represents the velocity vector, while ρ nf and μ nf are the effective density and dynamic viscosity of the nanofluid respectively, P is the pressure in the cross sectional area of duct and dp / dz is the constant pressure gradient in the axial direction of flow. Under the above assumptions, law of conservation of energy in the absence of natural convection and axial conduction will become:where T is the temperature of the fluid, while κ nf and (cp)nf are the effective thermal conductivity and specific heat of the nanofluid respectively.…”

“…Under the assumption of hydro-thermal fully developed flow, the term ∂T / ∂z is considered to be constant accordingly. 34,36 With the help of relations that have been adopted by 37,40–42 and 37,43 for H 1 and T thermally fully developed conditions respectively and non-dimensional parameters given in equations (14)-(17), we get:with boundary conditions:…”

“…Studies in existence literature at fully developed region can be estimated in two ways, i) by ignoring the velocity components in cross section, [30][31][32][33] ii) by converging the velocity components in the cross section along with axial component of velocity, however the deviation in velocity components along axial direction is ignored. [34][35][36][37] By keeping these facts as have been discussed above, we analyze the effect of Brownian motion on forced convection nanofluid flow through concentric pipes annular duct, by adopting Koo-Kleinstreuer-Li (KKL) model correlations. Energy equation is simulated with H1 and T thermally fully developed conditions to discuss the forced convection rate.…”

Forced convective hybrid nanofluid flow through annular sector duct

“…Eq. ( 6) is solved by using the and thermally fully developed conditions defined by following relations accordingly [43][44][45][46]:…”