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Aerodynamic Heating of a Thin Sharp-Nose Circular Cone in Supersonic Flow

“…Numerical integration of Navier-Stokes and Reynolds equations by the procedure of [15,16] was used to study a supersonic (M ∞ = 5) flow of a sharp-nose circular cone with a half-angle θ c = 4° and isothermal surface (T w0 = T w /T 0 = 0.5, where T w and T 0 denote the temperature of the surface subjected to flow and the stagnation temperature of unperturbed flow, respectively). A cone of finite length L was treated; this length was taken to be the characteristic linear dimension.…”

“…This approach was developed for numerical integration of unsteady-state two-dimensional Navier-Stokes equations [11] and Reynolds equations [12] in the Boussinesq assumption of Reynolds stresses using a two-parameter differential model of turbulence [13] and realized in a software package for personal computers (PC). It was further used to solve a number of supersonic problems of external and internal aerodynamics such as those for circular cylinder, sphere, and plane and axisymmetric channels [14]. The development of PC as regards the increase in their speed and memory made it possible to generalize this approach to the simulation of three-dimensional supersonic flows using unsteady-state three-dimensional equations of viscous gas dynamics [15,16].…”

“…It was further used to solve a number of supersonic problems of external and internal aerodynamics such as those for circular cylinder, sphere, and plane and axisymmetric channels [14]. The development of PC as regards the increase in their speed and memory made it possible to generalize this approach to the simulation of three-dimensional supersonic flows using unsteady-state three-dimensional equations of viscous gas dynamics [15,16]. The procedure of numerical simulation using NavierStokes equations is described in [15] and verified by comparing the calculation results (M ∞ = 10.4, θ c = = 15°, 0 ≤ α/θ c ≤ 1.2) with experimental data [17].…”

“…The development of PC as regards the increase in their speed and memory made it possible to generalize this approach to the simulation of three-dimensional supersonic flows using unsteady-state three-dimensional equations of viscous gas dynamics [15,16]. The procedure of numerical simulation using NavierStokes equations is described in [15] and verified by comparing the calculation results (M ∞ = 10.4, θ c = = 15°, 0 ≤ α/θ c ≤ 1.2) with experimental data [17]. The procedure of numerical simulation using Reynolds equations is described in [16], and the calculation results and experimental data (M ∞ = 4, θ c = 4°, 0 ≤ ≤ α/θ c ≤ 2) are compared with respect to the integral characteristics of a sharp cone.…”