More Non-Dimensional Models for Simple Heat Exchangers

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Presentation transcript:

More Non-Dimensional Models for Simple Heat Exchangers P M V Subbarao Professor Mechanical Engineering Department I I T Delhi Different Shape Functions for Compact Sobolev Devices …..

e-NTU Models for Simple Counter Flow HXs

e-NTU Models for Simple Parallel Flow Heat Ex Thi The Tce Tci

e- NTU Curves: Counter Vs parallel flow

Limiting Cases Two limiting cases of interest: R = 1 and R =0 For R = 1 above equation is indeterminate. Apply L’ Hospital’s Rule .

L’ Hospital’s Rule Consider a function: If there exist a real value c such that has a finite value, then If

Two limiting cases of interest: R = 1 Counter flow Heat exchanger: Parallel flow Heat exchanger:

HX with Equal Capacity Fluids

Condensing/Evaporative HXs The limiting case of interest: R = 0. Counter flow Heat exchanger: Parallel flow Heat exchanger:

Condensing/Evaporative HXs NTU

General Models for Simple Heat Exchangers

System of Equations

Non-dimensional Model - II Counter Flow: Parallel Flow:

Generalized Performance Charts for HX.

More Mathematics for Industrial Design A single pass counter flow heat exchanger, with Cc<Ch. Thermal Capacity Ratio: Temperature Effectiveness:

A single pass counter flow heat exchanger, with Cc<Ch.

Design for Safety of A HX di do Di