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Heat and mass transfer analysis of nanofluid flow over swirling cylinder with Cattaneo–Christov heat flux

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Abstract

Single-phase nanofluid heat and mass transfer futures over swirling cylinder with the impact of Cattaneo–Christov heat flux and slip effects is studied in this analysis. The effects thermophoresis, thermal radiation, Brownian motion and chemical reaction are also considered and the motion of the fluid is because of the torsional motion of the cylinder and these parameters. Suitable similarity transformations are implemented to simplify the fluid equations from partial differential equations to ordinary differential equations. The most powerful finite element technique is applied to solve the subsequent equations along with boundary conditions. Variations in the scatterings of swirling velocity, axial velocity, concentration and temperature with several pertinent parameters are portrayed through plots. Nusselt number, both components of skin friction coefficient and Sherwood number values are also examined in detail and are revealed in tables. Temperature sketches diminish in nanofluid region with rising values of heat flux relaxation number. It is detected that the nanofluids temperature deteriorates with augmenting values of temperature slip parameter. The present numerical code is validated with existing literature.

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Abbreviations

C f :

Skin friction coefficient

k f :

Thermal conductivity of basefluid

Nt :

Thermophoretic Parameter

C ∞ :

Ambient fluid concentration

T w :

Wall constant temperature

T :

Fluid temperature

q w :

Wall heat flux

f :

Dimensionless stream function

K * :

Mean absorption coefficient

Shx :

Sherwood number

(u, v):

Velocity components in x- and y-axis

τ w :

Shear stress

M:

Magnetic field parameter

B 0 :

Strength of Magnetic Field

(x, y):

Direction along and perpendicular to the cylinder

V :

Suction parameter

C r :

Chemical reaction parameter

MHD:

Magnetohydrodynamics

Nb:

Brownian motion Parameter

Nux :

Nusselt number

Re :

Local Reynolds number

u ∞ :

Velocity of mainstream

T ∞ :

Ambient temperature

C :

Fluid concentration

J w :

Wall mass flux

uw :

Velocity of the wall

σ * :

Stefan-Boltzmann constant

Pr:

Prandtl number

R :

Radiation parameter

Le:

Lewis number

D m :

Diffusion coefficient

U:

Composite velocity

CW:

Concentration at the wall

α :

Thermal diffusivity of base fluid

μ :

Fluid viscosity

S :

Dimensionless nanoparticle volume fraction

θ :

Dimensionless temperature

σ :

Electrical conductivity

λ 1 :

Fluid relaxation time

B:

Concentration slip number

v :

Kinematic viscosity

ρ p :

Nanoparticle mass density

η :

Similarity variable

λ :

Velocity Slip parameter

ξ :

Thermal slip parameter

λ 2 :

Thermal relaxation time

γ :

Thermal relaxation parameter

∞ :

Condition far away from cone surface

f :

Base fluid

hnf:

Hybrid nanofluid

nf:

Nanofluid

‘ :

Differentiation with respect to ɳ

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Authors and Affiliations

  1. Department of Mathematics, Rajeev Gandhi Memorial College of Engineering and Technology, Nandyal, 518501, AP, India

    P. Sudarsana Reddy & P. Sreedevi

  2. Institute of Research and Development, Duy Tan University, Da Nang, 550000, Vietnam

    Ali J. Chamkha

  3. Institute of Theoretical and Applied Research (ITAR), Duy Tan University, Hanoi, 100000, Vietnam

    Ali J. Chamkha

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  1. P. Sudarsana Reddy
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Correspondence to P. Sudarsana Reddy or Ali J. Chamkha.

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Reddy, P.S., Sreedevi, P. & Chamkha, A.J. Heat and mass transfer analysis of nanofluid flow over swirling cylinder with Cattaneo–Christov heat flux. J Therm Anal Calorim 147, 3453–3468 (2022). https://doi.org/10.1007/s10973-021-10586-9

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