Shape Sensitivity for High-speed Flows with Shocks

Kulkarni, Mandar D.

doi:10.2514/6.2020-0888

Cited by 1 publication

(3 citation statements)

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“…The shape of a vast range of tangent ogive pointed noses can be expressed in the form of a 4 th order polynomial, i.e. yb=a1x+a2x²+a3x³+a4x 4 (2.a)…”

Section: The Regression Modelmentioning

confidence: 99%

“…Evidently, certain relationships must exist between the corresponding coefficients of the two polynomials. ys=b1x+b2x²+b3x³+b4x 4 (2.b)…”

Section: The Regression Modelmentioning

confidence: 99%

“…One *Corresponding Author Institutional Email: ardavari@srbiau.ac.ir (A. R. Davari) of the primary assumptions to estimate the shock shape of an arbitrary nose shape was to consider it as a straight cone of the same vertex angle as the nose, which is greatly restricted in application. An accurate evaluation of interference requires a careful representation of the curved shock [4].…”

Section: Introductionmentioning

confidence: 99%

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A Semi-empirical Model to Predict the Attached Axisymmetric Shock Shape

Davari

2020

IJE

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In this work, a simple semi-empirical model is proposed, based on Response Surface Model, RSM, to determine the shape of an attached oblique shock wave emanating from a pointed axisymmetric nose at zero angle of attack. Extensive supersonic visualization images have been compiled from various nose shapes at different Mach numbers, along with some others performed by the author for the present paper. The method is based on the relationship between the body shape and the shock shape. The body shape and the free stream Mach number determine the shape of the oblique shock standing ahead. From the statistical data bank containing the visualization tests and employing the RSM, an analytic relationship has been established between the body and the shock shape. From this relationship, knowing the body shape and the Mach number, one can simply determine the shock shape. The visualization tests performed by the author for some other cases have approved the accuracy of the proposed relationship. However, the approach is restricted to attached shocks emanating from sharp noses at zero angle of attack. Despite the limitations, this relationship can effectively be used in model scale determination for wind tunnel tests to prevent shock reflection from the walls that could lead to erroneous results.

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“…The shape of a vast range of tangent ogive pointed noses can be expressed in the form of a 4 th order polynomial, i.e. yb=a1x+a2x²+a3x³+a4x 4 (2.a)…”

Section: The Regression Modelmentioning

confidence: 99%

“…Evidently, certain relationships must exist between the corresponding coefficients of the two polynomials. ys=b1x+b2x²+b3x³+b4x 4 (2.b)…”

Section: The Regression Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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