Gauge Pressure at Any Point in Liquid Flow Solution

STEP 0: Pre-Calculation Summary
Formula Used
Gauge Pressure for Vertical = Specific Weight of Liquid*Height of Crack*(1+Constant Vertical Acceleration/[g])
Pg,V = y*h*(1+αv/[g])
This formula uses 1 Constants, 4 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
Variables Used
Gauge Pressure for Vertical - (Measured in Pascal) - Gauge Pressure for Vertical refers to the amount by which the pressure measured in a fluid exceeds that of the atmosphere.
Specific Weight of Liquid - (Measured in Newton per Cubic Meter) - The Specific weight of liquid is also known as the unit weight, is the weight per unit volume of the liquid. For Example - Specific weight of water on Earth at 4°C is 9.807 kN/m3 or 62.43 lbf/ft3.
Height of Crack - (Measured in Meter) - Height of Crack refers to the size of a flaw or crack in a material that can lead to catastrophic failure under a given stress.
Constant Vertical Acceleration - (Measured in Meter per Square Second) - Constant Vertical Acceleration refers to the vertical upward acceleration of tank.
STEP 1: Convert Input(s) to Base Unit
Specific Weight of Liquid: 9.81 Kilonewton per Cubic Meter --> 9810 Newton per Cubic Meter (Check conversion ​here)
Height of Crack: 20000 Millimeter --> 20 Meter (Check conversion ​here)
Constant Vertical Acceleration: 10.03 Meter per Square Second --> 10.03 Meter per Square Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Pg,V = y*h*(1+αv/[g]) --> 9810*20*(1+10.03/[g])
Evaluating ... ...
Pg,V = 396868.525949228
STEP 3: Convert Result to Output's Unit
396868.525949228 Pascal --> No Conversion Required
FINAL ANSWER
396868.525949228 396868.5 Pascal <-- Gauge Pressure for Vertical
(Calculation completed in 00.020 seconds)

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Created by Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
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Liquid Containers Subjected To Constant Vertical Acceleration Calculators

Vertical Depth below Free Surface given Pressure at point in Liquid
​ LaTeX ​ Go Height of Crack = (Absolute Pressure for Both Direction-Atmospheric Pressure)/(Specific Weight of Liquid*(1+Constant Vertical Acceleration/[g]))
Specific Weight of Liquid given Pressure at point in Liquid
​ LaTeX ​ Go Specific Weight of Liquid = (Absolute Pressure for Both Direction-Atmospheric Pressure)/(Height of Crack*(1+Constant Vertical Acceleration/[g]))
Atmospheric Pressure given Pressure at Any Point in Liquid in Constant Vertical Acceleration
​ LaTeX ​ Go Atmospheric Pressure = Absolute Pressure for Both Direction+Specific Weight of Liquid*Height of Crack*(1+Constant Vertical Acceleration/[g])
Pressure at Any Point in Liquids
​ LaTeX ​ Go Absolute Pressure for Both Direction = Atmospheric Pressure+Specific Weight of Liquid*Height of Crack*(1+Constant Vertical Acceleration/[g])

Gauge Pressure at Any Point in Liquid Flow Formula

​LaTeX ​Go
Gauge Pressure for Vertical = Specific Weight of Liquid*Height of Crack*(1+Constant Vertical Acceleration/[g])
Pg,V = y*h*(1+αv/[g])

What is Gauge Pressure?

Gauge pressure is the pressure relative to atmospheric pressure. Gauge pressure is positive for pressures above atmospheric pressure, and negative for pressures below it. In fact, atmospheric pressure does add to the pressure in any fluid not enclosed in a rigid container.

How to Calculate Gauge Pressure at Any Point in Liquid Flow?

Gauge Pressure at Any Point in Liquid Flow calculator uses Gauge Pressure for Vertical = Specific Weight of Liquid*Height of Crack*(1+Constant Vertical Acceleration/[g]) to calculate the Gauge Pressure for Vertical, The Gauge Pressure at any point in liquid Flow formula is defined as the pressure of a point with respect to atmospheric pressure as datum. Gauge Pressure for Vertical is denoted by Pg,V symbol.

How to calculate Gauge Pressure at Any Point in Liquid Flow using this online calculator? To use this online calculator for Gauge Pressure at Any Point in Liquid Flow, enter Specific Weight of Liquid (y), Height of Crack (h) & Constant Vertical Acceleration v) and hit the calculate button. Here is how the Gauge Pressure at Any Point in Liquid Flow calculation can be explained with given input values -> 396868.5 = 9810*20*(1+10.03/[g]).

FAQ

What is Gauge Pressure at Any Point in Liquid Flow?
The Gauge Pressure at any point in liquid Flow formula is defined as the pressure of a point with respect to atmospheric pressure as datum and is represented as Pg,V = y*h*(1+αv/[g]) or Gauge Pressure for Vertical = Specific Weight of Liquid*Height of Crack*(1+Constant Vertical Acceleration/[g]). The Specific weight of liquid is also known as the unit weight, is the weight per unit volume of the liquid. For Example - Specific weight of water on Earth at 4°C is 9.807 kN/m3 or 62.43 lbf/ft3, Height of Crack refers to the size of a flaw or crack in a material that can lead to catastrophic failure under a given stress & Constant Vertical Acceleration refers to the vertical upward acceleration of tank.
How to calculate Gauge Pressure at Any Point in Liquid Flow?
The Gauge Pressure at any point in liquid Flow formula is defined as the pressure of a point with respect to atmospheric pressure as datum is calculated using Gauge Pressure for Vertical = Specific Weight of Liquid*Height of Crack*(1+Constant Vertical Acceleration/[g]). To calculate Gauge Pressure at Any Point in Liquid Flow, you need Specific Weight of Liquid (y), Height of Crack (h) & Constant Vertical Acceleration v). With our tool, you need to enter the respective value for Specific Weight of Liquid, Height of Crack & Constant Vertical Acceleration 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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