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Boltzmann Constant for Cylindrical Blast Wave Formula

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The Boltzmann Constant 1 is the Boltzmann constant used for cylindrical blast waves in hypersonic blast theory. Check FAQs

k b1 = \frac{{y sp}^{2 \cdot \frac{y sp - 1}{2 - y sp}}}{2^{\frac{4 - y sp}{2 - y sp}}}

k_b1 - Boltzmann Constant?y_sp - Specific Heat Ratio?

Boltzmann Constant for Cylindrical Blast Wave Example

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Here is how the Boltzmann Constant for Cylindrical Blast Wave equation looks like with Values.

Here is how the Boltzmann Constant for Cylindrical Blast Wave equation looks like with Units.

Here is how the Boltzmann Constant for Cylindrical Blast Wave equation looks like.

0.418 = \frac{{0.4}^{2 \cdot \frac{0.4 - 1}{2 - 0.4}}}{2^{\frac{4 - 0.4}{2 - 0.4}}}

0.418 = \frac{{0.4}^{2 \cdot \frac{0.4 - 1}{2 - 0.4}}}{2^{\frac{4 - 0.4}{2 - 0.4}}}

0.418 = \frac{{0.4}^{2 \cdot \frac{0.4 - 1}{2 - 0.4}}}{2^{\frac{4 - 0.4}{2 - 0.4}}}

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Boltzmann Constant for Cylindrical Blast Wave Solution

Follow our step by step solution on how to calculate Boltzmann Constant for Cylindrical Blast Wave?

FIRST Step Consider the formula

k b1 = \frac{{y sp}^{2 \cdot \frac{y sp - 1}{2 - y sp}}}{2^{\frac{4 - y sp}{2 - y sp}}}

Next Step Substitute values of Variables

∴

k b1 = \frac{{0.4}^{2 \cdot \frac{0.4 - 1}{2 - 0.4}}}{2^{\frac{4 - 0.4}{2 - 0.4}}}

Next Step Prepare to Evaluate

∴

k b1 = \frac{{0.4}^{2 \cdot \frac{0.4 - 1}{2 - 0.4}}}{2^{\frac{4 - 0.4}{2 - 0.4}}}

Next Step Evaluate

∴

k b1 = 0.417962690610264

LAST Step Rounding Answer

∴

k b1 = 0.418

Boltzmann Constant for Cylindrical Blast Wave Formula Elements

Variables

Boltzmann Constant

The Boltzmann Constant 1 is the Boltzmann constant used for cylindrical blast waves in hypersonic blast theory.

Symbol: k_b1

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Boltzmann Constant

Specific Heat Ratio

The Specific heat ratio of a gas is the ratio of the specific heat of the gas at a constant pressure to its specific heat at a constant volume.

Symbol: y_sp

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Specific Heat Ratio

Other formulas in Cylindrical Blast Wave category

Go Pressure for Cylindrical Blast Wave

P cyl = k b1 \cdot ρ ∞ \cdot \frac{{(\frac{E}{ρ ∞})}^{\frac{1}{2}}}{t sec}

Go Radial Coordinate of Cylindrical Blast Wave

r = {(\frac{E}{ρ ∞})}^{\frac{1}{4}} \cdot {t sec}^{\frac{1}{2}}

Go Modified Pressure Equation for Cylindrical Blast Wave

P mod = [BoltZ] \cdot ρ ∞ \cdot \sqrt{\frac{π}{8}} \cdot d \cdot \sqrt{C D} \cdot \frac{{V ∞}^{2}}{y}

Go Simplified Pressure Ratio for Blunt Cylinder Blast Wave

r p = 0.0681 \cdot M^{2} \cdot \frac{\sqrt{C D}}{\frac{y}{d}}

How to Evaluate Boltzmann Constant for Cylindrical Blast Wave?

Boltzmann Constant for Cylindrical Blast Wave evaluator uses Boltzmann Constant = (Specific Heat Ratio^(2*(Specific Heat Ratio-1)/(2-Specific Heat Ratio)))/(2^((4-Specific Heat Ratio)/(2-Specific Heat Ratio))) to evaluate the Boltzmann Constant, Boltzmann Constant for Cylindrical Blast Wave formula is defined as a fundamental physical constant that relates the energy of particles in a gas to the temperature of the gas, specifically in the context of hypersonic equivalence principle and blast wave theory, providing a crucial link between thermodynamic and kinetic properties. Boltzmann Constant is denoted by k_b1 symbol.

How to evaluate Boltzmann Constant for Cylindrical Blast Wave using this online evaluator? To use this online evaluator for Boltzmann Constant for Cylindrical Blast Wave, enter Specific Heat Ratio (y_sp) and hit the calculate button.

FAQs on Boltzmann Constant for Cylindrical Blast Wave

What is the formula to find Boltzmann Constant for Cylindrical Blast Wave?

The formula of Boltzmann Constant for Cylindrical Blast Wave is expressed as Boltzmann Constant = (Specific Heat Ratio^(2*(Specific Heat Ratio-1)/(2-Specific Heat Ratio)))/(2^((4-Specific Heat Ratio)/(2-Specific Heat Ratio))). Here is an example- 0.417963 = (0.4^(2*(0.4-1)/(2-0.4)))/(2^((4-0.4)/(2-0.4))).

How to calculate Boltzmann Constant for Cylindrical Blast Wave?

With Specific Heat Ratio (y_sp) we can find Boltzmann Constant for Cylindrical Blast Wave using the formula - Boltzmann Constant = (Specific Heat Ratio^(2*(Specific Heat Ratio-1)/(2-Specific Heat Ratio)))/(2^((4-Specific Heat Ratio)/(2-Specific Heat Ratio))).

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