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Surface Pressure on Body using Pressure Coefficient Formula

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Surface Pressure at Point is the static pressure at that point on the surface. Check FAQs

P = p ∞ + q ∞ \cdot C p

P - Surface Pressure at Point?p_∞ - Freestream Pressure?q_∞ - Freestream Dynamic Pressure?C_p - Pressure Coefficient?

Surface Pressure on Body using Pressure Coefficient Example

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Here is how the Surface Pressure on Body using Pressure Coefficient equation looks like with Values.

Here is how the Surface Pressure on Body using Pressure Coefficient equation looks like with Units.

Here is how the Surface Pressure on Body using Pressure Coefficient equation looks like.

61646 = 29900 + 39000 \cdot 0.814

61646Pa = 29900Pa + 39000Pa \cdot 0.814

61646 = 29900 + 39000 \cdot 0.814

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Surface Pressure on Body using Pressure Coefficient Solution

Follow our step by step solution on how to calculate Surface Pressure on Body using Pressure Coefficient?

FIRST Step Consider the formula

P = p ∞ + q ∞ \cdot C p

Next Step Substitute values of Variables

∴

P = 29900Pa + 39000Pa \cdot 0.814

Next Step Prepare to Evaluate

∴

P = 29900 + 39000 \cdot 0.814

LAST Step Evaluate

∴

P = 61646Pa

Surface Pressure on Body using Pressure Coefficient Formula Elements

Variables

Surface Pressure at Point

Surface Pressure at Point is the static pressure at that point on the surface.

Symbol: P

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

Formulas to find Surface Pressure at Point

Freestream Pressure

Freestream Pressure is the pressure of fluid that hasn't encountered any disturbance.

Symbol: p_∞

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Freestream Pressure

Freestream Dynamic Pressure

Freestream Dynamic Pressure is the kinetic energy per unit volume of fluid at some distance from the body where the density and velocity are freestream values.

Symbol: q_∞

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Freestream Dynamic Pressure

Pressure Coefficient

Pressure Coefficient is a dimensionless parameter and it expresses the local pressure at a certain point on a surface relative to the freestream or ambient pressure.

Symbol: C_p

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Pressure Coefficient

Other formulas in Aerodynamic Measurements and Wind Tunnel Testing category

Go Airspeed Measurement by Venturi

V 1 = \sqrt{\frac{2 \cdot (P 1 - P 2)}{ρ 0 \cdot ({A lift}^{2} - 1)}}

Go Wind Tunnel Test Section Velocity

V 2 = \sqrt{\frac{2 \cdot (P 1 - P 2)}{ρ 0 \cdot (1 - \frac{1}{{A lift}^{2}})}}

Go Wind Tunnel Pressure Difference by Manometer

δP = 𝑤 \cdot Δh

Go Wind Tunnel Pressure Difference with Test Speed

δP = 0.5 \cdot ρ air \cdot {V 2}^{2} \cdot (1 - \frac{1}{{A lift}^{2}})

How to Evaluate Surface Pressure on Body using Pressure Coefficient?

Surface Pressure on Body using Pressure Coefficient evaluator uses Surface Pressure at Point = Freestream Pressure+Freestream Dynamic Pressure*Pressure Coefficient to evaluate the Surface Pressure at Point, Surface pressure on body using Pressure coefficient is obtained as the sum of free stream pressure plus pressure coefficient times the free stream dynamic pressure. Surface Pressure at Point is denoted by P symbol.

How to evaluate Surface Pressure on Body using Pressure Coefficient using this online evaluator? To use this online evaluator for Surface Pressure on Body using Pressure Coefficient, enter Freestream Pressure (p_∞), Freestream Dynamic Pressure (q_∞) & Pressure Coefficient (C_p) and hit the calculate button.

FAQs on Surface Pressure on Body using Pressure Coefficient

What is the formula to find Surface Pressure on Body using Pressure Coefficient?

The formula of Surface Pressure on Body using Pressure Coefficient is expressed as Surface Pressure at Point = Freestream Pressure+Freestream Dynamic Pressure*Pressure Coefficient. Here is an example- 61100 = 29900+39000*0.814.

How to calculate Surface Pressure on Body using Pressure Coefficient?

With Freestream Pressure (p_∞), Freestream Dynamic Pressure (q_∞) & Pressure Coefficient (C_p) we can find Surface Pressure on Body using Pressure Coefficient using the formula - Surface Pressure at Point = Freestream Pressure+Freestream Dynamic Pressure*Pressure Coefficient.

Can the Surface Pressure on Body using Pressure Coefficient be negative?

Yes, the Surface Pressure on Body using Pressure Coefficient, measured in Pressure can be negative.

Which unit is used to measure Surface Pressure on Body using Pressure Coefficient?

Surface Pressure on Body using Pressure Coefficient is usually measured using the Pascal[Pa] for Pressure. Kilopascal[Pa], Bar[Pa], Pound Per Square Inch[Pa] are the few other units in which Surface Pressure on Body using Pressure Coefficient can be measured.

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Surface Pressure on Body using Pressure Coefficient Formula

Surface Pressure on Body using Pressure Coefficient Example

Surface Pressure on Body using Pressure Coefficient Solution

Surface Pressure on Body using Pressure Coefficient Formula Elements

Other formulas in Aerodynamic Measurements and Wind Tunnel Testing category

How to Evaluate Surface Pressure on Body using Pressure Coefficient?

FAQs on Surface Pressure on Body using Pressure Coefficient

Variable Name