Two-phase flow heat transfer in a circular pipe when the inlet temperature varies periodically with time

Abstract

The problem of two phase flow heat transfer in a circular pipe is analysed when the temperature of the dust particles and of the liquid varies sinusoidally with time. The effect of various parameters on the amplitudes of dust particles, liquid-dust mixture and clear liquid is calculated. Graphs have been drawn to compare the values. It is found that the effect of dust particles is to flatten the temperature profile and thus increase the heat transfer.T _p temperature of dust particles$\bar T$ temperature of liquidC _p specific heat of dust particlesC specific heat of liquidK _p thermal conductivity of dust particlesK thermal conductivity of liquid ϱ fluid density μ co-efficient of viscosity of liquid ν kinematic co-efficient of viscosityP Prandtl number (=μC/K)R Reynold’s number (=r ū/ν)$\bar t$ timer ₁ radius of the pipe$\bar z$ directionu velocity component in$\bar z$-directionū average velocitymN mass of dust particles per unit volume (=mN ₀=constant)h _p heat transfer co-efficient for flow over dust particlesA _p surface area of dust particlesV _p volume of dust particlesT _w constant well temperature

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