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Analysis about impact of morphological and nanoparticle volume fraction aspects of TiO2–Cu in enhancement of thermo-physical features of newtonian fluid flowing in a rotating porous channel

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Abstract

Current communication is addressed to elaborate features of laminar fluid flowing through a channel with permeable boundaries which is an important flow problem in real-world applications. In this work, Newtonian fluid (base fluid) in a rotating porous contracting/expanding channel with induction of TiO2-Cu nanoparticles (Suspensions) of different shapes and sizes is obliged. Formulation is executed under implementing boundary layer approach. Empirical relation representing features of nanoparticles are added in equations. Afterwards, partial differential expressions are changed into ODE’s by incorporating transformations. Solution is heeded by collaboration of R–K and shooting procedure. The impact of flow-controlling parameters is interpreted via graphs and tables. The important quantities of engineering interest like heat flux coefficient, skin friction against different parameters are explained in tabulated manner. To make results more credible different range of nanoparticles volumetric fractions (1–4)%, and different shapes of particles like, i.e., triangle, oval, prism, hexagonal, spherical, brick, cylinders, and platelets are considered. It is inferred from investigation that magnitude of heat transfer coefficient has gained optimization against concerning parameters for the platelet shape of nanoparticles. It is revealed that magnitude of wall drag force and heat flux at lower boundary of channel is more inthe case of contraction than to the expansion of channel.

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Abbreviations

u, v:

Velocity components (m/s)

T:

Temperature (K)

v hnf :

Hybrid nanofluid kinematic viscosity(m2/s)

(Cp)hnf :

Hybrid nanofluid specific heat (J kg−1k−1)

α :

Stretching rate

B o :

Magnetic field strength

φ1,φ2 :

Nanoparticles volume fraction

ρ bf :

Water density (base fluid)(kgm−3)

ρ s1 ,ρ s2 :

Density for nanoparticles 1 and 2

K:

Thermal conductivity(W k−1 m−1)

k s1 ,k s2 :

Thermal conductivity for nanoparticles (TiO2,Cu)

K mbf :

Shape factor for thermal conductivity base fluid

M:

Magnetic field (A/m)

A vp :

Axial velocity profile

T p :

Temperature profile

Pr :

Prandtl number

Re :

Reynolds number

R0 :

Rotational parameter

N:

Size

Ω:

Angular speed

x, y:

Space coordinate

ρ hnf :

Hybrid nanofluid density

k hnf :

Hybrid nanofluid thermal conductivity

μf :

Water dynamic velocity(Ns m–1)

B fd :

Base fluid

α hnf :

Thermal diffusivity hybrid nanofluid

Re r :

Local Reynolds number

ς y :

Shear stresses

R VP :

Redial velocity profile

N fd :

Nanofluid

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  1. Department of Mathematics, Air University, P.A.F Complex Sector E-9, Islamabad, 44000, Pakistan

    S. Bilal

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Bilal, S. Analysis about impact of morphological and nanoparticle volume fraction aspects of TiO2–Cu in enhancement of thermo-physical features of newtonian fluid flowing in a rotating porous channel. Appl Nanosci 13, 405–419 (2023). https://doi.org/10.1007/s13204-021-01770-2

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