Curvilinear Grid Location Equation Solution

STEP 0: Pre-Calculation Summary
Formula Used
Grid Points = (Distance from Y-Axis-Local Ordinate of Body)/Local Shock-layer Thickness
ζ = (x-b)/δ
This formula uses 4 Variables
Variables Used
Grid Points - Grid Points is the grids that is formed to understand the shock wave and study about the detachment distance.
Distance from Y-Axis - (Measured in Meter) - Distance from Y-Axis is defined as the distance from the point where stress is to be computed to the YY axis.
Local Ordinate of Body - (Measured in Meter) - Local Ordinate of Body, the coordinate of the point on the body when shock occurs, used for calculation of grid location.
Local Shock-layer Thickness - (Measured in Meter) - Local Shock-layer Thickness is the thickness of the shock formed over the body.
STEP 1: Convert Input(s) to Base Unit
Distance from Y-Axis: 7 Millimeter --> 0.007 Meter (Check conversion here)
Local Ordinate of Body: 1.5 Millimeter --> 0.0015 Meter (Check conversion here)
Local Shock-layer Thickness: 2.5 Millimeter --> 0.0025 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ζ = (x-b)/δ --> (0.007-0.0015)/0.0025
Evaluating ... ...
ζ = 2.2
STEP 3: Convert Result to Output's Unit
2.2 --> No Conversion Required
FINAL ANSWER
2.2 <-- Grid Points
(Calculation completed in 00.020 seconds)

Credits

Created by Sanjay Krishna
Amrita School of Engineering (ASE), Vallikavu
Sanjay Krishna has created this Calculator and 300+ more calculators!
Verified by Maiarutselvan V
PSG College of Technology (PSGCT), Coimbatore
Maiarutselvan V has verified this Calculator and 300+ more calculators!

11 Space-Marching Finite Difference Method: Additional Solutions of the Euler Equations Calculators

Total Enthalpy Equation using Specific Heat Ratio and Velocities
Go Total Specific Enthalpy = Specific Heat Ratio/(Specific Heat Ratio-1)*Pressure/Density+(Component of Velocity in X-Direction^2+Component of Velocity in Y-Direction^2)/2
Enthalpy Equation using Specific Heat Ratio
Go Enthalpy = Specific Heat Ratio*[R]*Temperature/(Specific Heat Ratio-1)
Density Equation using Enthalpy and Pressure
Go Density = Specific Heat Ratio/(Specific Heat Ratio-1)*Pressure/Enthalpy
Pressure Equation using Enthalpy and Density
Go Pressure = Enthalpy*Density*(Specific Heat Ratio-1)/Specific Heat Ratio
Enthalpy Equation using Pressure and Density
Go Enthalpy = Specific Heat Ratio/(Specific Heat Ratio-1)*Pressure/Density
Coefficient of Pressure Equation using Specific Heat Ratio
Go Pressure Coefficient = (Specific Heat Ratio*Universal Gas Constant)/(Specific Heat Ratio-1)
Curvilinear Grid Location Equation
Go Grid Points = (Distance from Y-Axis-Local Ordinate of Body)/Local Shock-layer Thickness
Local Shock-Layer Thickness
Go Local Shock-layer Thickness = Local ordinate of the shock-Local Ordinate of Body
Free Stream Enthalpy
Go Freestream Specific Enthalpy = Total Specific Enthalpy-(Freestream Velocity^2)/2
Total Specific Enthalpy
Go Total Specific Enthalpy = Enthalpy+(Fluid Velocity^2)/2
Enthalpy Equation using Coefficient of Pressure for Calorically Perfect Gas
Go Enthalpy = Pressure Coefficient*Temperature

Curvilinear Grid Location Equation Formula

Grid Points = (Distance from Y-Axis-Local Ordinate of Body)/Local Shock-layer Thickness
ζ = (x-b)/δ

what is a shock wave?

Shock wave, strong pressure wave in any elastic medium such as air, water, or a solid substance, produced by supersonic aircraft, explosions, lightning, or other phenomena that create violent changes in pressure.

How to Calculate Curvilinear Grid Location Equation?

Curvilinear Grid Location Equation calculator uses Grid Points = (Distance from Y-Axis-Local Ordinate of Body)/Local Shock-layer Thickness to calculate the Grid Points, The curvilinear grid location equation formula is defined as the ratio of the distance from the origin of shock along the y-axis minus the body shape to the detachment distance of shock wave. Grid Points is denoted by ζ symbol.

How to calculate Curvilinear Grid Location Equation using this online calculator? To use this online calculator for Curvilinear Grid Location Equation, enter Distance from Y-Axis (x), Local Ordinate of Body (b) & Local Shock-layer Thickness (δ) and hit the calculate button. Here is how the Curvilinear Grid Location Equation calculation can be explained with given input values -> -2.2 = (0.007-0.0015)/0.0025.

FAQ

What is Curvilinear Grid Location Equation?
The curvilinear grid location equation formula is defined as the ratio of the distance from the origin of shock along the y-axis minus the body shape to the detachment distance of shock wave and is represented as ζ = (x-b)/δ or Grid Points = (Distance from Y-Axis-Local Ordinate of Body)/Local Shock-layer Thickness. Distance from Y-Axis is defined as the distance from the point where stress is to be computed to the YY axis, Local Ordinate of Body, the coordinate of the point on the body when shock occurs, used for calculation of grid location & Local Shock-layer Thickness is the thickness of the shock formed over the body.
How to calculate Curvilinear Grid Location Equation?
The curvilinear grid location equation formula is defined as the ratio of the distance from the origin of shock along the y-axis minus the body shape to the detachment distance of shock wave is calculated using Grid Points = (Distance from Y-Axis-Local Ordinate of Body)/Local Shock-layer Thickness. To calculate Curvilinear Grid Location Equation, you need Distance from Y-Axis (x), Local Ordinate of Body (b) & Local Shock-layer Thickness (δ). With our tool, you need to enter the respective value for Distance from Y-Axis, Local Ordinate of Body & Local Shock-layer Thickness and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!