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Shell and Tube Heat Exchanger Design
Shell-and-tube design first finds the area from the duty, overall coefficient and corrected LMTD, then lays out the tube bundle (count, length, pitch) and baffling to achieve that area within acceptable pressure drops on both sides.
Exam tip: keep SI units consistent end-to-end, write the governing relation symbolically before substituting, and sanity-check magnitude and sign.
Key formulas & points
Skim these first — then read the full notes below.
- TEMA shell types (E, F, G) set the baffling and shell-side flow
- Triangular versus square tube pitch trades heat transfer against cleanability
- A baffle cut of 20–25% balances shell-side coefficient and pressure drop
Topic details
Introduction
This topic turns the heat-exchanger duty into hardware. You compute the area from q = UF·ΔT_lm, choose tube diameter, length, pitch and passes to fit that area, size the shell and baffle spacing, and iterate on the shell- and tube-side coefficients (Kern method) until the assumed and calculated U agree within pressure-drop limits.
Key relations & formulas
(required heat-transfer area)
(tube-bundle surface area)
(tube-side velocity)
Notation and sign conventions
Relation 1 —
(required heat-transfer area)
Write this relation with symbols exactly as in Bhattacharya Chemical Equipment Design — Standard reference before substituting numbers. Examiners award partial marks for a correct setup even when arithmetic slips.
Relation 2 —
(tube-bundle surface area)
Write this relation with symbols exactly as in Bhattacharya Chemical Equipment Design — Standard reference before substituting numbers. Examiners award partial marks for a correct setup even when arithmetic slips.
Relation 3 —
(tube-side velocity)
Write this relation with symbols exactly as in Bhattacharya Chemical Equipment Design — Standard reference before substituting numbers. Examiners award partial marks for a correct setup even when arithmetic slips.
Concept in depth
The design is iterative because U depends on the very geometry you are trying to fix. You assume a U, get an area and a layout, then compute the tube-side coefficient from velocity and the shell-side coefficient from the Kern correlation, recompute U, and repeat. Baffles force the shell-side fluid across the tubes to raise its coefficient, but tighter baffle spacing also raises pressure drop, so the 20–25% baffle cut is a compromise. Triangular pitch packs more tubes (higher transfer) but cannot be mechanically cleaned like square pitch. Multipass arrangements raise velocity and hence the coefficient but introduce the F-correction that penalises the LMTD.
Assumptions and validity limits
State assumptions explicitly before using any relation for shell and tube heat exchanger design — steady state, uniform properties, linear elastic material, ideal gas, incompressible flow, etc., as applicable.
Wrong assumptions invalidate the entire solution even when the formula is correct. In Process Equipment Design viva and GATE descriptive questions, listing valid assumptions often earns separate marks.
Step-by-step problem approach
1. Read the question and list given data with SI units (common in Process Equipment Design papers).
2. Draw a neat labelled diagram where applicable — examiners in Indian universities award diagram marks even when arithmetic slips.
3. Identify which relation from this topic applies to shell and tube heat exchanger design.
4. Use equation 1:
5. Use equation 2:
6. Substitute values, compute, and verify units and sign (direction).
7. State conclusion in one line — e.g. safe/unsafe, stable/unstable, feasible/infeasible.
2. Draw a neat labelled diagram where applicable — examiners in Indian universities award diagram marks even when arithmetic slips.
3. Identify which relation from this topic applies to shell and tube heat exchanger design.
4. Use equation 1:
.
5. Use equation 2:
.
6. Substitute values, compute, and verify units and sign (direction).
7. State conclusion in one line — e.g. safe/unsafe, stable/unstable, feasible/infeasible.
Applications & exam relevance
Shell and Tube Heat Exchanger Design appears in EPCM and fabrication. In Indian chemical curricula this topic is tested because it connects theory to mechanical design of vessels and columns.
GATE and semester exams often combine shell and tube heat exchanger design with earlier units — revise prerequisites before attempting mixed problems.
Industry interview panels sometimes ask: "Where did you use shell and tube heat exchanger design?" — answer with a lab, mini-project, or plant visit example if possible.
Common mistakes in exams
Students forget the F-correction factor for multipass units, use the wrong characteristic length in shell-side correlations, and ignore pressure-drop limits when packing tubes. Not iterating on U (accepting the first guess) gives a badly sized unit.
Quick revision checklist
Before attempting shell and tube heat exchanger design problems, confirm you can:
1. TEMA shell types (E, F, G) set the baffling and shell-side flow
2. Triangular versus square tube pitch trades heat transfer against cleanability
3. A baffle cut of 20–25% balances shell-side coefficient and pressure drop
2. Triangular versus square tube pitch trades heat transfer against cleanability
3. A baffle cut of 20–25% balances shell-side coefficient and pressure drop
Revise the solved examples in Bhattacharya Chemical Equipment Design — Standard reference and one previous-year GATE or university paper for this unit.
Worked examples
Try the problem first — open the solution when you are ready to check.
Number of tubes for an area
Problem
A required area of 20 m² uses tubes of 25 mm outside diameter and 3 m length. How many tubes are needed?
Solution
Area per tube = πd_o L = π×0.025×3 = 0.2356 m². N_t = 20/0.2356 = 85 tubes (round up to the next standard count).
Conceptual check — Shell and Tube Heat Exchanger Design
Problem
In a Process Equipment Design semester or GATE paper you are asked: "State the main assumption, the governing relation, and one practical consequence of shell and tube heat exchanger design." What should a complete answer include?
Exams & GATE
Use the Kern method for the shell-side coefficient; work through the design examples.
📖 Standard books (India)
Bhattacharya Chemical Equipment Design — Standard reference
Read: Syllabus unit
Referenced in Indian B.Tech syllabus
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