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Two-phase flow heat transfer in a channel when the inlet temperature varies linearly with time

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Acta Physica Academiae Scientiarum Hungaricae

Abstract

Exact solutions of the transient forced convection energy equations of dust particles and of liquid in a channel bounded by two parallel flat plates are obtained in the present paper when the inlet temperatures vary linearly with time and an interpretation of the case of laminar flows is given. It is found that the effect of the presence of dust particles is to increase the heat transfer.

The meaning of any other symbols is given in the text as they occur

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Abbreviations

T p :

temperature of dust particles

T :

temperature of liquid

C p :

specific heat of dust particles

C :

specific heat of liquid

h :

half distance between parallel plates

K p :

thermal conductivity of dust particle

K :

thermal conductivity of liquid

i :

time

U p :

velocity of dust particle in\(\bar x - direction\)

U :

velocity of liquid in\(\bar x - direction\)

\(\bar U\) :

average velocity

ϱ:

liquid density

\(\bar x, \bar y\) :

Cartesian coordinates (\(\bar x - flow\) direction, andy-distance from channel centre line)

mN :

mass of dust particle per unit volume (=mNo, constant)

μ:

coefficient of viscosity of liquid

ν:

kinematic coefficient of viscosity

P :

Prandtl number (=μc/k)

R :

Reynolds number (\(( = h\bar u/v)\))

h p :

heat transfer coefficient for flow over dust particle

A p :

surface area of dust particle

V p :

volume of dust particle)

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Authors and Affiliations

  1. Department of Mathematics, Himachal Pradesh University, 171 005, Simla, India

    K. S. Shirkot & Surjit Singh

Authors
  1. K. S. Shirkot
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  2. Surjit Singh
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Shirkot, K.S., Singh, S. Two-phase flow heat transfer in a channel when the inlet temperature varies linearly with time. Acta Physica 43, 209–215 (1977). https://doi.org/10.1007/BF03159411

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  • DOI: https://doi.org/10.1007/BF03159411

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