Heattransfer Engineering

Bell-Delaware Tube-Side Pressure Drop (Frictional + Accelerational) calculator

Bell-Delaware Tube-Side Pressure Drop (Frictional + Accelerational) engineering calculator.

Runnable This tool can run, but independent engineering verification has not been established.

Quick Answer

Calculate Bell-Delaware Tube-Side Pressure Drop (Frictional + Accelerational)

Calculator

Tube-side pressure drop (Pa)
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Result Interpretation

Bell-Delaware Tube-Side Pressure Drop (Frictional + Accelerational) calculator computes Tube-side pressure drop in Pa using the defined engineering formula and the input values provided. Tube-side pressure drop is expressed in Pa. No universal acceptance threshold is defined by this calculator.

Worked Example

Verified calculation

Given:

  • Darcy friction factor = 0.022
  • Effective tube length per pass = 2.5
  • Mass velocity squared = 900000
  • Tube inside diameter = 0.019
  • Fluid density = 998.2
  • Square of area ratio (A_in/A_out) = 0.95

Expected Result:

  • Tube-side pressure drop = 5310.0844678316

Engineering Interpretation:

Under the given input conditions, the calculated result is: Tube-side pressure drop = 5310.0844678316 Pa.

The actual numerical result is computed by the Runtime engine using the persisted tool definition. The values shown here come from deterministically validated test cases.

Formula / Method

tube-side pressure drop = (4 * darcy friction factor * effective tube length per pass * mass velocity squared) / (2 * tube inside diameter * fluid density) + (2 * mass velocity squared * (1 - A_in/A_out)) / fluid density

Formula family: formula_heattransfer_shell_and_tube_heat_exchanger_tube_side_pressure_drop_calculator_bell_delaware_method

Variables

SymbolLabelRoleDescription
f Darcy friction factor INPUT Darcy friction factor
L_tube Effective tube length per pass INPUT Effective tube length per pass
G_tube_sq Mass velocity squared INPUT Mass velocity squared
D_i Tube inside diameter INPUT Tube inside diameter
rho Fluid density INPUT Fluid density
sigma_sq Square of area ratio (A_in/A_out) INPUT Square of area ratio (A_in/A_out)
pressure_drop Tube-side pressure drop OUTPUT Tube-side pressure drop

Calculation Steps

  1. Enter the darcy friction factor in dimensionless.
  2. Enter the effective tube length per pass in m.
  3. Enter the mass velocity squared in kg²/(m⁴·s²).
  4. Enter the tube inside diameter in m.
  5. Enter the fluid density in kg/m³.
  6. Enter the square of area ratio (a_in/a_out) in dimensionless.
  7. Step 1: Compute tube-side pressure drop.
  8. Read the tube-side pressure drop (Pa) from the results.

Engineering Summary

Calculate Bell-Delaware Tube-Side Pressure Drop (Frictional + Accelerational)

Frequently Asked Questions

What does this calculator calculate?

The Bell-Delaware Tube-Side Pressure Drop (Frictional + Accelerational) calculator estimates Tube-side pressure drop based on the input parameters you provide

Why is darcy friction factor important in this calculation?

darcy friction factor is directly proportional to tube-side pressure drop. When you enter darcy friction factor in dimensionless, the calculator uses it in the engineering formula to compute the output

How should I interpret the result tube-side pressure drop?

The calculator outputs tube-side pressure drop in Pa. For higher pressures, divide by 1000 to express in kPa, or by 101325 for atmospheres. The result is computed directly from the input values using the defined engineering formula

What units should I use for the inputs?

Enter each value in the units shown next to the input field: Darcy friction factor (dimensionless), Effective tube length per pass (m), Mass velocity squared (kg²/(m⁴·s²)), Tube inside diameter (m), Fluid density (kg/m³), Square of area ratio (A_in/A_out) (dimensionless). Make sure all inputs use the specified units for consistent results

What assumptions does this calculator use?

This calculator uses automatically validated engineering formulas. Results are approximate and should be validated against site-specific conditions, applicable codes, and professional engineering judgment

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