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EFGM Simulation of Pulsating Doublediffusive Effect on Transpiration Cooling in Nanofluid Filled Wavy Channel

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Abstract

The heat and mass transfer characteristics of nanofluid in a wavy channel with pulsating inlet flow conditions is investigated numerically. Two phase model of nanofluids incorporating the effects of Brownian motion and thermophoresis is considered. Element free Galerkin method is used to solve the governing equations and to analyze the flow field. Apart from intensifying heat transfer, pulsation also allows high volume fraction of nanoparticles to be considered without fear of sedimentation or abrasion. The simulations are performed for Brownian motion parameter Nb, thermophoresis parameter Nt, nanoparticle volume fraction \(\phi \) and amplitude of inlet velocity \(A_{in}\) while keeping the other parameters under study constant. It is observed that wavy channel also aids in enhancing the heat transfer as there is a development of self sustained oscillatory flow boosting the mixing of fluid between different regions. The obtained results indicate that nanofluids under pulsating flow condition have a good potential in increasing the transpiration cooling performance; thereby helping in the design of supersonic passenger aircraft.

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Abbreviations

\(A_{wc}\) :

Amplitude of wavy channel

H :

Height of the wavy channel

(U, V):

Non-dimensional velocity in (x, y) direction

P :

Non-dimensional pressure

Re :

Reynolds number

Pr :

Prandtl number

F :

Non-dimensional nanoparticle concentration

\(\theta \) :

Non-dimensional temperature

Nb :

Brownian motion parameter

Nt :

Thermophoresis parameter

St :

Strohaul number

L :

Length of cycle

t :

Time

f :

Frequency of pulsation

c :

Specific heat capacity

\(A_{in}\) :

Amplitude of pulsation (non-dimensional)

\(\nu \) :

Kinematic viscosity

\(\beta \) :

Thermal expansion coefficient

\(\alpha \) :

Thermal diffusivity

\(\rho \) :

Fluid density

\(\lambda \) :

Length of wavy channel

\(\tau \) :

Cycle time

\(\xi \) :

Enhancement parameter

\(\phi \) :

Nanoparticle volume fraction

wc:

Wavy channel

in:

Inlet

p:

Pulsating

s:

Steady

h:

Heat

m:

Mass

np:

Nanoparticle

nf:

Nanofluid

bf:

Base fluid

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Acknowledgments

Rangoli Goyal would like to thank Department of Science and Technology, Government of India, for its financial support through the award of a research grant.

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  1. Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, 247667, India

    Rangoli Goyal & Rama Bhargava

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  1. Rangoli Goyal
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Goyal, R., Bhargava, R. EFGM Simulation of Pulsating Doublediffusive Effect on Transpiration Cooling in Nanofluid Filled Wavy Channel. Int. J. Appl. Comput. Math 3, 1847–1860 (2017). https://doi.org/10.1007/s40819-016-0198-z

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