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A smoothed particle hydrodynamics approach for numerical simulation of nano-fluid flows

Application to forced convection heat transfer over a horizontal cylinder

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Abstract

Nano-fluidic flow and heat transfer around a horizontal cylinder at Reynolds numbers up to 250 are investigated by using weakly compressible smoothed particle hydrodynamics (WCSPH). To be able to simulate enhanced nanoparticle heat transfer, this manuscript describes for the first time a development that allows conductive and convective heat transfer to be modelled accurately for the Eckert problem using WCSPH. The simulations have been conducted for Pr = 0.01–40 with nanoparticle volumetric concentrations ranging from 0 to 4%. The velocity fields and the Nusselt profiles from the present simulations are in a good agreement with the experimental measurements. The results show that WCSPH is appropriate method for such numerical modelling. Additionally, the results of heat transfer characteristics of nano-fluid flow over a cylinder marked improvements comparing with the base fluids. This improvement is more evident in flows with higher Reynolds numbers and higher particle volume concentration.

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Abbreviations

B :

Constant in equation of state

c o :

Artificial speed of sound

C p :

The specific heat at constant pressure

C v :

The specific heat at constant volume

D :

Cylinder diameter

e :

Energy of a given particle

f :

Arbitrarily function

h :

Smoothing length or support dimension

H :

Computational domain height

k :

Thermal conductivity of fluid

L :

Computational domain length

m :

Mass of a given particle

Nu :

Nusselt number

P :

Pressure acting on the particle

Pr :

Prandtl number

Q :

Heat flux terms in energy equation

r :

Distance between the centres of a couple of particles

r :

Position vector identifying the equilibrium state

Re :

Reynolds number

t :

Time

T :

Temperature

u :

Velocity component along x-axis

v :

Velocity component along y-axis

V :

Volume of the particle i

W :

Kernel or smoothing function

x :

The first Cartesian coordinate axis

y :

The second Cartesian coordinate axis

δ :

Dirac delta function

σ :

Stress tensor

μ :

Viscosity coefficient

ρ :

Mass density

ν :

Kinematic viscosity

γ :

Constant in state equation

φ :

Nanoparticle volume fraction

ε :

Parameter of artificial viscous heating

0:

Value for reference condition

Cut:

Cutting radius

i:

Particle of interest

j:

Neighbour particle

f:

Fluid

nf:

Nano-fluid

s:

Solid nanoparticle

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Author information

Authors and Affiliations

  1. Department of Mechanical Engineering, Daneshpajoohan Higher Education Institute, Isfahan, Iran

    Hossein Nasiri

  2. Department of Mechanical, Robotics and Energy Engineering, Dongguk University, Seoul, 04620, Republic of Korea

    Mohammad Yaghoub Abdollahzadeh Jamalabadi

  3. Department of Mechanical Engineering, University of Tehran, Tehran, Iran

    Reza Sadeghi

  4. Division of Computational Physics, Institute for Computational Science, Ton Duc Thang University, Ho Chi Minh City, Vietnam

    Mohammad Reza Safaei & Truong Khang Nguyen

  5. Faculty of Electrical and Electronics Engineering, Ton Duc Thang University, Ho Chi Minh City, Vietnam

    Mohammad Reza Safaei & Truong Khang Nguyen

  6. CORIA-UMR 6614, Normandy University, CNRS-University & INSA of Rouen, 76000, Rouen, France

    Mostafa Safdari Shadloo

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  1. Hossein Nasiri
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  2. Mohammad Yaghoub Abdollahzadeh Jamalabadi
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  3. Reza Sadeghi
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  4. Mohammad Reza Safaei
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  6. Mostafa Safdari Shadloo
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Correspondence to Mohammad Reza Safaei.

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Nasiri, H., Abdollahzadeh Jamalabadi, M.Y., Sadeghi, R. et al. A smoothed particle hydrodynamics approach for numerical simulation of nano-fluid flows. J Therm Anal Calorim 135, 1733–1741 (2019). https://doi.org/10.1007/s10973-018-7022-4

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  • DOI: https://doi.org/10.1007/s10973-018-7022-4

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