Question

Please give detailed explanation of the following equation in relation to heat transfer in liquids. In you detailed explanation please state the meaning of the terms used.

Equations Governing Heat Transfer in Liquid For a moving fluid the following considerations are necessary when formulating the heat equation • When a fluid moves it transports energy. • Viscosity is temperature dependent. • Density is temperature dependent. From the above contribution the equation governing temperature distribution in a moving fluid is given by; PC*+PC uVT = 0,7 (A +u-Vpa) +:S+V. (KVT)+Q

Answer 1

Solution : - Dit is the governing energy equation in a flones; e content scu. PT= diploma 4 u. 7Px] + :S+P/(kutbr@ T I T V r a I I term + 3Cp2T is a temporal term determinigą, the unsteadiness term for at of flow 2nd terms Cpu DT ig an advective / Convective term lje.net heat C added or removed from the given control Volume god tom + dptləPA +0.7PA) is the pressure term (including both temporal and Spatial gradienis). It evaluates the pressure changes within the Control Volume both in space and time 4th formy I's is the source term including deviaton's Stresses from the flow in control volume 5th term 8./K8T) is the diffusion term consis temperature gradients 3 6th term @ is the net heat generated within the Control Volume due to chemical reactions or some intrinne factors.