Pumping Power Required in Heat Exchanger Given Pressure Drop Calculator

✖Mass Flowrate is the mass of a substance that passes per unit of time.ⓘ Mass Flowrate [M_flow]			+10% -10%
✖Tube Side Pressure Drop is the difference between inlet and outlet pressure of the tube side fluid in a shell and tube heat exchanger.ⓘ Tube Side Pressure Drop [ΔP_{Tube Side}]			+10% -10%
✖Fluid Density is defined as the ratio of mass of given fluid with respect to the volume that it occupies.ⓘ Fluid Density [ρ_fluid]			+10% -10%

✖Pumping Power in a heat exchanger refers to the energy required to circulate the heat transfer fluid (typically a liquid) through the exchanger.ⓘ Pumping Power Required in Heat Exchanger Given Pressure Drop [P_p]

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Formula

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Pumping Power Required in Heat Exchanger Given Pressure Drop

Formula

`"P"_{"p"} = ("M"_{"flow"}*"ΔP"_{"Tube Side"})/"ρ"_{"fluid"}`

Example

`"2629.11W"=("14kg/s"*"186854.6Pa")/"995kg/m³"`

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Pumping Power Required in Heat Exchanger Given Pressure Drop Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pumping Power = (Mass Flowrate*Tube Side Pressure Drop)/Fluid Density
P_p = (M_flow*ΔP_{Tube Side})/ρ_fluid
This formula uses 4 Variables

Variables Used

Pumping Power - (Measured in Watt) - Pumping Power in a heat exchanger refers to the energy required to circulate the heat transfer fluid (typically a liquid) through the exchanger.
Mass Flowrate - (Measured in Kilogram per Second) - Mass Flowrate is the mass of a substance that passes per unit of time.
Tube Side Pressure Drop - (Measured in Pascal) - Tube Side Pressure Drop is the difference between inlet and outlet pressure of the tube side fluid in a shell and tube heat exchanger.
Fluid Density - (Measured in Kilogram per Cubic Meter) - Fluid Density is defined as the ratio of mass of given fluid with respect to the volume that it occupies.

STEP 1: Convert Input(s) to Base Unit

Mass Flowrate: 14 Kilogram per Second --> 14 Kilogram per Second No Conversion Required
Tube Side Pressure Drop: 186854.6 Pascal --> 186854.6 Pascal No Conversion Required
Fluid Density: 995 Kilogram per Cubic Meter --> 995 Kilogram per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_p = (M_flow*ΔP_{Tube Side})/ρ_fluid --> (14*186854.6)/995

Evaluating ... ...

P_p = 2629.10994974874

STEP 3: Convert Result to Output's Unit

2629.10994974874 Watt --> No Conversion Required

FINAL ANSWER

2629.10994974874 ≈ 2629.11 Watt <-- Pumping Power

(Calculation completed in 00.004 seconds)

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Malviya National Institute Of Technology (MNIT JAIPUR ), JAIPUR

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< 25 Basic Formulas Of Heat Exchanger Designs Calculators

Pressure Drop of Vapor in Condensers given Vapors on Shell Side

Go Shell Side Pressure Drop = 0.5*8*Friction Factor*(Length of Tube/Baffle Spacing)*(Shell Diameter/Equivalent Diameter)*(Fluid Density/2)*(Fluid Velocity^2)*((Fluid Viscosity at Bulk Temperature/Fluid Viscosity at Wall Temperature)^-0.14)

Shell Side Pressure Drop in Heat Exchanger

Go Shell Side Pressure Drop = (8*Friction Factor*(Length of Tube/Baffle Spacing)*(Shell Diameter/Equivalent Diameter))*(Fluid Density/2)*(Fluid Velocity^2)*((Fluid Viscosity at Bulk Temperature/Fluid Viscosity at Wall Temperature)^-0.14)

Tube Side Pressure Drop in Heat Exchanger for Turbulent Flow

Go Tube Side Pressure Drop = Number of Tube-Side Passes*(8*Friction Factor*(Length of Tube/Pipe Inner Diameter)*(Fluid Viscosity at Bulk Temperature/Fluid Viscosity at Wall Temperature)^-0.14+2.5)*(Fluid Density/2)*(Fluid Velocity^2)

Tube Side Pressure Drop in Heat Exchanger for Laminar Flow

Reynolds Number for Condensate Film Outside Vertical Tubes in Heat Exchanger

Go Reynold Number = 4*Mass Flowrate/(pi*Pipe Outer Diameter*Number of Tubes*Fluid Viscosity at Bulk Temperature)

Reynolds Number for Condensate Film Inside Vertical Tubes in Condenser

Go Reynold Number = 4*Mass Flowrate/(pi*Pipe Inner Diameter*Number of Tubes*Fluid Viscosity at Bulk Temperature)

Number of Tubes in Shell and Tube Heat Exchanger

Go Number of Tubes = 4*Mass Flowrate/(Fluid Density*Fluid Velocity*pi*(Pipe Inner Diameter)^2)

Shell Area for Heat Exchanger

Go Shell Area = (Tube Pitch-Pipe Outer Diameter)*Shell Diameter*(Baffle Spacing/Tube Pitch)

Stack Design Pressure Draft for Furnace

Go Draft Pressure = 0.0342*(Stack Height)*Atmospheric Pressure*(1/Ambient Temperature-1/Flue Gas Temperature)

Number of Transfer Units for Plate Heat Exchanger

Go Number of Transfer Units = (Outlet Temperature-Inlet Temperature)/Log Mean Temperature Difference

Equivalent Diameter for Triangular Pitch in Heat Exchanger

Go Equivalent Diameter = (1.10/Pipe Outer Diameter)*((Tube Pitch^2)-0.917*(Pipe Outer Diameter^2))

Equivalent Diameter for Square Pitch in Heat Exchanger

Go Equivalent Diameter = (1.27/Pipe Outer Diameter)*((Tube Pitch^2)-0.785*(Pipe Outer Diameter^2))

Viscosity Correction Factor for Shell and Tube Heat Exchanger

Go Viscosity Correction Factor = (Fluid Viscosity at Bulk Temperature/Fluid Viscosity at Wall Temperature)^0.14

Pumping Power Required in Heat Exchanger Given Pressure Drop

Go Pumping Power = (Mass Flowrate*Tube Side Pressure Drop)/Fluid Density

Heat Exchanger Volume for Hydrocarbon Applications

Go Heat Exchanger Volume = (Heat Duty of Heat Exchanger/Log Mean Temperature Difference)/100000

Heat Exchanger Volume for Air Separation Applications

Go Heat Exchanger Volume = (Heat Duty of Heat Exchanger/Log Mean Temperature Difference)/50000

Provision for Thermal Expansion and Contraction in Heat Exchanger

Go Thermal Expansion = (97.1*10^-6)*Length of Tube*Temperature Difference

Number of Tubes in Eight Pass Triangular Pitch given Bundle Diameter

Go Number of Tubes = 0.0365*(Bundle Diameter/Pipe Outer Diameter)^2.675

Number of Tubes in Six Pass Triangular Pitch given Bundle Diameter

Go Number of Tubes = 0.0743*(Bundle Diameter/Pipe Outer Diameter)^2.499

Number of Tubes in Four Pass Triangular Pitch given Bundle Diameter

Go Number of Tubes = 0.175*(Bundle Diameter/Pipe Outer Diameter)^2.285

Number of Tubes in One Pass Triangular Pitch given Bundle Diameter

Go Number of Tubes = 0.319*(Bundle Diameter/Pipe Outer Diameter)^2.142

Number of Tubes in Two Pass Triangular Pitch given Bundle Diameter

Go Number of Tubes = 0.249*(Bundle Diameter/Pipe Outer Diameter)^2.207

Number of Tubes in Center Row Given Bundle Diameter and Tube Pitch

Go Number of Tubes in Vertical Tube Row = Bundle Diameter/Tube Pitch

Number of Baffles in Shell and Tube Heat Exchanger

Go Number of Baffles = (Length of Tube/Baffle Spacing)-1

Shell Diameter of Heat Exchanger Given Clearance and Bundle Diameter

Go Shell Diameter = Shell Clearance+Bundle Diameter

Pumping Power Required in Heat Exchanger Given Pressure Drop Formula

Pumping Power = (Mass Flowrate*Tube Side Pressure Drop)/Fluid Density
P_p = (M_flow*ΔP_{Tube Side})/ρ_fluid

What is Pumping Power?

Pumping power in a heat exchanger is the energy required to move the heat transfer fluid through the system. It represents the work done by a pump to circulate the fluid, overcoming resistance and maintaining the desired flow rate.

Pumping power is typically measured in watts or horsepower and is influenced by factors such as flow rate and pressure differential across the heat exchanger. Minimizing pumping power is essential for optimizing the energy efficiency of the heat exchange process.

How to Calculate Pumping Power Required in Heat Exchanger Given Pressure Drop?

Pumping Power Required in Heat Exchanger Given Pressure Drop calculator uses Pumping Power = (Mass Flowrate*Tube Side Pressure Drop)/Fluid Density to calculate the Pumping Power, The Pumping Power Required in Heat Exchanger Given Pressure Drop formula is defined as the energy required by pumps or similar equipment to circulate the heat transfer fluid through the exchanger. Pumping Power is denoted by P_p symbol.

How to calculate Pumping Power Required in Heat Exchanger Given Pressure Drop using this online calculator? To use this online calculator for Pumping Power Required in Heat Exchanger Given Pressure Drop, enter Mass Flowrate (M_flow), Tube Side Pressure Drop (ΔP_{Tube Side}) & Fluid Density (ρ_fluid) and hit the calculate button. Here is how the Pumping Power Required in Heat Exchanger Given Pressure Drop calculation can be explained with given input values -> 2629.11 = (14*186854.6)/995.

FAQ

What is Pumping Power Required in Heat Exchanger Given Pressure Drop?

The Pumping Power Required in Heat Exchanger Given Pressure Drop formula is defined as the energy required by pumps or similar equipment to circulate the heat transfer fluid through the exchanger and is represented as P_p = (M_flow*ΔP_{Tube Side})/ρ_fluid or Pumping Power = (Mass Flowrate*Tube Side Pressure Drop)/Fluid Density. Mass Flowrate is the mass of a substance that passes per unit of time, Tube Side Pressure Drop is the difference between inlet and outlet pressure of the tube side fluid in a shell and tube heat exchanger & Fluid Density is defined as the ratio of mass of given fluid with respect to the volume that it occupies.

How to calculate Pumping Power Required in Heat Exchanger Given Pressure Drop?

The Pumping Power Required in Heat Exchanger Given Pressure Drop formula is defined as the energy required by pumps or similar equipment to circulate the heat transfer fluid through the exchanger is calculated using Pumping Power = (Mass Flowrate*Tube Side Pressure Drop)/Fluid Density. To calculate Pumping Power Required in Heat Exchanger Given Pressure Drop, you need Mass Flowrate (M_flow), Tube Side Pressure Drop (ΔP_{Tube Side}) & Fluid Density (ρ_fluid). With our tool, you need to enter the respective value for Mass Flowrate, Tube Side Pressure Drop & Fluid Density and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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