What Is the Newtonian & Modified Newtonian Hypersonic Pressure Calculator?
Newtonian impact theory predicts aerodynamic pressure on windward hypersonic vehicle surfaces.
How Does the Newtonian & Modified Newtonian Hypersonic Pressure Calculator Work?
Particles transfer normal momentum upon impact, yielding Cp proportional to sin^2(theta).
Newtonian & Modified Newtonian Hypersonic Pressure Calculator Formula & Variables
The core mathematical equation utilized by this calculator is expressed as:
C_p = C_{p,\max} \sin^2(\theta), \quad C_{p,\max} = \frac{2}{\gamma M_\infty^2} \left( \frac{p_{02}}{p_1} - 1 \right)
Classic and Modified Newtonian impact pressure distribution.
How to Use the Newtonian & Modified Newtonian Hypersonic Pressure Calculator
- Input surface inclination angle, Mach number, specific heat ratio, and model selection.
Step-by-Step Example Calculation
Hypersonic Reentry Nose Cone
Input Values:
surfaceInclinationAngleDeg:30
freestreamMachNumber:6
specificHeatRatioGamma:1.4
useModifiedNewtonian:true
Worked Steps: Calculates pressure coefficient Cp ~0.457 at a 30-degree deflection angle.
Understanding Your Result
Provides pressure coefficient Cp and peak stagnation value Cp_max.
Factors That Affect the Result
- Higher surface angle theta exponentially increases impact pressure.
When Should You Use This Calculator?
- Hypersonic entry vehicle preliminary force, moment, and trajectory calculations.
Assumptions & Limitations
- Applies strictly to windward surfaces where sin(theta) > 0; shadowed surfaces have Cp = 0.
Frequently Asked Questions
Calculation Accuracy & Reference Note
Widely used in conceptual aerothermodynamic engineering tools such as CBAERO and S/HABP.