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Shell-and-Tube Exchanger Shell-Side Pressure Drop Calculator

In shell-and-tube heat exchangers, shell-side fluid flow follows a tortuous crossflow pattern over tube bundles directed by segmental baffles.

Inside diameter of cylindrical exchanger shell (Ds).

Center-to-center longitudinal distance between successive segmental baffles (B).

Nominal outer diameter of heat exchanger tubes (e.g. 19.05 mm for 3/4 inch).

Centerline spacing between adjacent tubes in the tube sheet pattern (Pt).

Total fluid mass flow rate circulating across the shell side.

Density of shell-side fluid at average bulk operating temperature.

Dynamic viscosity in centipoise (mPa·s) of shell-side fluid.

Total effective tube bundle length between tube sheets.

Calculated Result
9.97 kPa

Shell-Side Pressure Drop (ΔP)

Shell Mass Velocity (G_s)

384 kg/(m²·s)

Shell Reynolds Number

4622

Baffle Count

15

Centerline Bundle Flow Area

0.0312 m²

Calculation Breakdown

  1. Crossflow Area & Mass Velocitya_s = (500/1000 · C · 250/1000) / (25.4/1000) = 0.0312 m²; G_s = 12 / 0.0312 = 384 kg/(m²·s)
  2. Shell Reynolds Number (Re_s)Re_s = (G_s · D_e) / μ = 4622 across 15 crossflow baffles
  3. Kern Shell-Side Pressure Drop (ΔP_s)ΔP_s = [f_s · G_s² · D_s · (N_b + 1)] / (2 · ρ · D_e) = 9.97 kPa

Shell-Side Hydraulic Profile

Interactive visualization based on your current inputs

Value
0.09.5192938Pressure Drop (kPa)Mass Velocity (x0.1 kg/m²s)Re / 1000BafflesParameterValue

What Is the Shell-and-Tube Exchanger Shell-Side Pressure Drop Calculator?

In shell-and-tube heat exchangers, shell-side fluid flow follows a tortuous crossflow pattern over tube bundles directed by segmental baffles.

The shell-side pressure drop is governed by crossflow velocity at the centerline, tube clearance, baffle spacing, and total number of crossflow passes.

This calculator utilizes Kern’s formulation to determine crossflow area, shell mass velocity, Reynolds number, and frictional pressure loss.

How Does the Shell-and-Tube Exchanger Shell-Side Pressure Drop Calculator Work?

The calculation evaluates user-provided measurements using recognized domain equations, converts between measurement units, and adjusts for real-world efficiency factors.

Shell-and-Tube Exchanger Shell-Side Pressure Drop Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

\Delta P_s = \frac{f_s \, G_s^2 \, D_s \, (N_b + 1)}{2 \, \rho \, D_e \, \phi_s}, \quad G_s = \frac{\dot{m}}{a_s}, \quad a_s = \frac{D_s \, C \, B}{P_t}

fs is shell friction factor, Gs is crossflow mass velocity, Ds is shell diameter, Nb is baffle count, De is equivalent diameter, and as is bundle crossflow area.

How to Use the Shell-and-Tube Exchanger Shell-Side Pressure Drop Calculator

  1. Enter your primary measurements in the input fields above.
  2. Select your preferred units (e.g. metric or imperial) if applicable.
  3. Review or adjust operational assumptions such as field efficiency.
  4. Click Calculate to instantly generate the full results breakdown and visual chart.
  5. Use the Reset button at any time to clear the form and test a new scenario.

Step-by-Step Example Calculation

Lubricating Oil Shell-and-Tube Cooler

Input Values:

shellInsideDiameterMm:500
baffleSpacingMm:250
tubeOutsideDiameterMm:19.05
tubePitchMm:25.4
shellSideMassFlowKgS:12.0
fluidDensityKgPerM3:880
fluidDynamicViscosityCP:2.0
shellLengthM:4.0
Worked Steps: Determines oil crossflow velocity and pressure loss across 15 baffles.

Understanding Your Result

Your calculated result represents the realistic operational capacity or baseline output under the specified conditions. Comparing theoretical and effective outputs reveals the direct impact of turns, overlap, and practical downtime.

Factors That Affect the Result

Field terrain, operator experience, equipment maintenance, overlap margin, and weather conditions can significantly influence real-world output.

When Should You Use This Calculator?

Use this calculator whenever you need quick, verified estimates for job planning, budgeting, equipment sizing, or project timelines.

Assumptions & Limitations

  • Based on D.Q. Kern’s Process Heat Transfer method for 25% segmental cut baffles.
  • Clearance C equals Pt - do; hydraulic equivalent diameter De is derived for square pitch pattern.
  • Total pressure drop is proportional to shell length, baffle count, and velocity squared.

Frequently Asked Questions

Calculation Accuracy & Reference Note

This calculator implements verified, deterministic mathematical equations based on published standards. Results should be treated as professional engineering estimates; always verify critical operations with local equipment manuals and site inspections.

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