# Hydraulic Pipe Pressure Drop Calculator

> Source: https://netray.co/tools/hydraulic-pipe-pressure-drop-calculator-darcy-weisbach
> Publisher: Netray (netray.co), AI and integration engineering for ERP and manufacturing systems.
> Section: Free Tools

## Short answer

Calculates oil velocity, Reynolds number, Darcy friction factor, straight-run and fitting pressure drop, and the horsepower lost to line friction for a given hose or tube.

## Category

engineering-plm

## Industry

Hydraulic Equipment Manufacturing

## Audience

- Design engineer
- Maintenance engineer
- Estimator

## Tool

**Kind:** calculator

**Inputs:**

#### Flow rate

**Key:** gpm

**Type:** slider

**Default:** 40

**Min:** 1

**Max:** 200

**Step:** 1

**Unit:** gpm

#### Inside diameter

**Key:** id

**Type:** number

**Default:** 1

**Min:** 0.1

**Step:** 0.0625

**Unit:** in

**Help:** Actual inside diameter of the tube or hose, not the nominal size.

#### Straight length

**Key:** len

**Type:** number

**Default:** 50

**Min:** 0

**Step:** 1

**Unit:** ft

#### Oil kinematic viscosity

**Key:** cst

**Type:** number

**Default:** 32

**Min:** 1

**Step:** 1

**Unit:** cSt

**Help:** At operating temperature. ISO VG 46 is about 46 cSt at 104 F and near 17 cSt at 140 F.

#### Specific gravity

**Key:** sg

**Type:** number

**Default:** 0.87

**Min:** 0.7

**Max:** 1.3

**Step:** 0.01

**Help:** Mineral hydraulic oil is typically 0.86 to 0.88.

#### Absolute roughness

**Key:** rough

**Type:** select

**Default:** 0.00006

**Options:**

##### Drawn tubing / smooth hose (0.00006 in)

**Value:** 0.00006

##### Commercial steel pipe (0.0018 in)

**Value:** 0.0018

##### Old or corroded steel (0.01 in)

**Value:** 0.01

#### Sum of fitting K factors

**Key:** k

**Type:** number

**Default:** 4

**Min:** 0

**Step:** 0.1

**Help:** Add K values for elbows, tees and valves in the run. A 90 degree elbow is roughly 0.3 to 0.9.

**Outputs:**

#### Velocity

**Key:** v

**Expr:** 0.4085 * gpm / (id * id)

**Format:** decimal

**Description:** ft/s = 0.4085 x GPM / d squared. Typical limits: suction 2 to 4, return 4 to 13, pressure up to about 20.

#### Reynolds number

**Key:** re

**Expr:** 3160 * gpm / (id * cst)

**Format:** integer

**Description:** Re = 3160 x GPM / (d x cSt). Below about 2000 flow is laminar.

#### Darcy friction factor

**Key:** f

**Expr:** if(lt(re, 2000), 64 / re, 0.25 / pow(log10(rough / (3.7 * id) + 5.74 / pow(re, 0.9)), 2))

**Format:** decimal

**Description:** 64/Re when laminar, Swamee-Jain explicit approximation of Colebrook when turbulent.

#### Straight-run drop

**Key:** dp_s

**Expr:** f * (12 * len / id) * sg * 0.006731 * v * v

**Format:** decimal

**Description:** psi, from Darcy-Weisbach with the oil weight converted to psi.

#### Fitting drop

**Key:** dp_m

**Expr:** k * sg * 0.006731 * v * v

**Format:** decimal

**Description:** psi, K x (rho v squared / 2).

#### Total pressure drop

**Key:** dp

**Expr:** dp_s + dp_m

**Format:** decimal

**Primary:** true

**Description:** psi lost between the two ends of this line.

#### Horsepower lost to friction

**Key:** hp

**Expr:** dp * gpm / 1714

**Format:** decimal

**Primary:** true

**Description:** Power turned into heat in the line.

**Chart:**

#### Pressure drop vs flow rate

**Type:** line

**X:** gpm

**From:** 5

**To:** 100

**Steps:** 30

**Series:**

- dp

**Disclaimer:** Valid for single-phase Newtonian oil at constant temperature. Transitional flow (Re 2000 to 4000) is approximated. Cold oil can raise viscosity several times and change results dramatically.

## Content

**Intro:** Undersized hydraulic lines waste power, heat the oil and starve pumps. This calculator applies the Darcy-Weisbach equation with a laminar and turbulent friction factor so you can check a tube, hose or manifold run before ordering fittings.

**Sections:**

#### How to use it

**Body:** Enter flow, the real inside diameter, line length and the oil viscosity at operating temperature. Pick a roughness class and add up K factors for every elbow, tee, check valve or fitting in the run. The tool returns velocity first, which you should compare against the usual guidance of 2 to 4 ft/s on suction lines, 4 to 13 ft/s on returns and up to roughly 20 ft/s on pressure lines. It then returns Reynolds number, friction factor, pressure drop and wasted horsepower. Use the chart to see how quickly drop climbs with flow.

**Bullets:**

- Use inside diameter, not nominal size
- Use viscosity at running temperature and again at cold start
- Count every fitting and valve in K
- Keep pump suction vacuum well within the pump datasheet limit

#### Method and standards behind it

**Body:** Pressure drop is f x (L/D) x rho x v squared / 2. Reynolds number for a liquid in US units is 3160 x GPM / (ID in inches x viscosity in cSt). For laminar flow the friction factor is 64 divided by Re. For turbulent flow the tool uses the Swamee-Jain explicit equation, accurate to about 1 to 2 percent against Colebrook for typical hydraulic conditions. Oil weight uses 62.37 lb/cu ft times specific gravity, and the constant 0.006731 converts rho/(2 gc x 144) into psi. Fitting loss uses the equivalent K method.

#### Worked example

**Body:** 40 GPM of 32 cSt oil in a 1 inch ID line gives about 16.3 ft/s and a Reynolds number near 3950. Over 50 feet with 4 total K the line costs roughly 40 to 50 psi, which wastes around 1.1 horsepower. Moving to a 1.25 inch ID drops velocity to about 10.5 ft/s and cuts the loss by more than half. Always check the cold start case too: at 200 cSt the same line is laminar and the straight-run loss climbs steeply even at low velocity.

#### Common mistakes

**Body:** Ignoring viscosity change with temperature is the largest error, followed by using nominal line size. Hose has smaller inside diameter than tube of the same nominal size on many series, so check the hose catalog. Another mistake is ignoring return-line backpressure, which adds to cylinder and motor case pressures. Suction lines also need vapor pressure and elevation head in the analysis, which this tool does not cover.

**Cta:** Netray can connect line and component data from your engineering system to a private assistant that flags undersized runs when a design changes.

**Faq:**

#### What velocity is acceptable in a pressure line?

**Answer:** Common guidance is up to about 20 ft/s for pressure lines at moderate flow, lower for noise-sensitive or short-life systems. Suction lines should stay near 2 to 4 ft/s to avoid cavitation, and returns 4 to 13 ft/s.

#### Why does the friction factor change at Re 2000?

**Answer:** Below about 2000 flow is laminar and friction depends only on Reynolds number. Above 4000 it is turbulent and depends on relative roughness too. The transitional zone between is unstable, so treat results there as approximate.

#### How do I get viscosity at my oil temperature?

**Answer:** Use the oil datasheet or the ASTM D341 viscosity temperature chart, using the 40 C and 100 C values of your ISO VG grade. Enter the value at the hottest and coldest running conditions as separate checks.

#### Can I use this for water or coolant lines?

**Answer:** The formulas apply to any Newtonian liquid, but set viscosity and specific gravity to match. Water is about 1 cSt at 68 F with specific gravity of 1.0, which gives a much higher Reynolds number.

## Search terms

hydraulic line pressure drop calculator, darcy weisbach hydraulic oil, hydraulic hose pressure drop, hydraulic pipe size calculator, reynolds number hydraulic oil, hydraulic line velocity ft/s, swamee jain friction factor, suction line sizing hydraulic

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