def SUAVE.Methods.Aerodynamics.Airfoil_Panel_Method.aero_coeff.aero_coeff | ( | x, | |
y, | |||
cp, | |||
al, | |||
npanel | |||
) |
Compute airfoil force and moment coefficients about the quarter chord point Assumptions: None Source: None Inputs: x - Vector of x coordinates of the surface nodes y - Vector of y coordinates of the surface nodes cp - Vector of coefficients of pressure at the nodes al - Angle of attack in radians npanel - Number of panels on the airfoil Outputs: cl - Airfoil lift coefficient cd - Airfoil drag coefficient cm - Airfoil moment coefficient about the c/4 Properties Used: N/A
def SUAVE.Methods.Aerodynamics.Airfoil_Panel_Method.airfoil_analysis.airfoil_analysis | ( | airfoil_geometry, | |
alpha, | |||
Re_L, | |||
npanel = 100 , |
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batch_analysis = True , |
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airfoil_stations = [0] , |
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initial_momentum_thickness = 1E-5 , |
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tolerance = 1E0 |
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) |
This computes the aerodynamic polars as well as the boundary layer properties of an airfoil at a defined set of reynolds numbers and angle of attacks Assumptions: Michel Criteria used for transition Source: N/A Inputs: airfoil_geometry - airfoil geometry points [unitless] alpha - angle of attacks [radians] Re_L - Reynolds numbers [unitless] npanel - number of airfoil panels [unitless] batch_analysis - boolean : If True: the specified number of angle of attacks and Reynolds [boolean] numbers are used to create a table of 2-D results for each combination Note: Can only accomodate one airfoil If False:The airfoils specified are run and corresponding angle of attacks and Reynolds numbers Note: The number of airfoils, angle of attacks and reynolds numbers must all the same dimension Outputs: airfoil_properties. AoA - angle of attack [radians Re - Reynolds number [unitless] Cl - lift coefficients [unitless] Cd - drag coefficients [unitless] Cm - moment coefficients [unitless] normals - surface normals of airfoil [unitless] x - x coordinate points on airfoil [unitless] y - y coordinate points on airfoil [unitless] x_bl - x coordinate points on airfoil adjusted to include boundary layer [unitless] y_bl - y coordinate points on airfoil adjusted to include boundary layer [unitless] Cp - pressure coefficient distribution [unitless] Ue_Vinf - ratio of boundary layer edge velocity to freestream [unitless] dVe - derivative of boundary layer velocity [m/s-m] theta - momentum thickness [m] delta_star - displacement thickness [m] delta - boundary layer thickness [m] H - shape factor [unitless] Cf - local skin friction coefficient [unitless] Re_theta_t - Reynolds Number as a function of theta transition location [unitless] tr_crit - critical transition criteria [unitless] Properties Used: N/A
def SUAVE.Methods.Aerodynamics.Airfoil_Panel_Method.heads_method.heads_method | ( | npanel, | |
nalpha, | |||
nRe, | |||
DEL_0, | |||
THETA_0, | |||
DELTA_STAR_0, | |||
TURBULENT_SURF, | |||
RE_L, | |||
TURBULENT_COORD, | |||
VE_I, | |||
DVE_I, | |||
batch_analysis, | |||
tol | |||
) |
Computes the boundary layer characteristics in turbulent flow pressure gradients Source: Head, M. R., and P. Bandyopadhyay. "New aspects of turbulent boundary-layer structure." Journal of fluid mechanics 107 (1981): 297-338. Assumptions: None Inputs: nalpha - number of angle of attacks [unitless] nRe - number of reynolds numbers [unitless] batch_analysis - flag for batch analysis [boolean] DEL_0 - intital bounday layer thickness [m] DELTA_STAR_0 - initial displacement thickness [m] THETA_0 - initial momentum thickness [m] TURBULENT_SURF - normalized length of surface [unitless] RE_L - Reynolds number [unitless] TURBULENT_COORD- x coordinate on surface of airfoil [unitless] VE_I - boundary layer velocity at transition location [m/s-m] DVE_I - intial derivative value of boundary layer velocity at transition location [unitless] npanel - number of points on surface [unitless] tol - boundary layer error correction tolerance [unitless] Outputs: RESULTS. X_H - reshaped distance along airfoil surface [unitless] THETA_H - momentum thickness [m] DELTA_STAR_H - displacement thickness [m] H_H - shape factor [unitless] CF_H - friction coefficient [unitless] RE_THETA_H - Reynolds number as a function of momentum thickness [unitless] RE_X_H - Reynolds number as a function of distance [unitless] DELTA_H - boundary layer thickness [m] Properties Used: N/A
def SUAVE.Methods.Aerodynamics.Airfoil_Panel_Method.hess_smith.hess_smith | ( | x_coord, | |
y_coord, | |||
alpha, | |||
Re, | |||
npanel, | |||
batch_analyis | |||
) |
Computes the incompressible, inviscid flow over an airfoil of arbitrary shape using the Hess-Smith panel method. Assumptions: None Source: "An introduction to theoretical and computational aerodynamics", J. Moran, Wiley, 1984 Inputs x - Vector of x coordinates of the surface [unitess] y - Vector of y coordinates of the surface [unitess] batch_analyis - flag for batch analysis [boolean] alpha - Airfoil angle of attack [radians] npanel - Number of panels on the airfoil. The number of nodes [unitess] is equal to npanel+1, and the ith panel goes from node i to node i+1 Outputs cl - Airfoil lift coefficient [unitless] cd - Airfoil drag coefficient [unitless] cm - Airfoil moment coefficient about the c/4 [unitless] x_bar - Vector of x coordinates of the surface nodes [unitless] y_bar - Vector of y coordinates of the surface nodes [unitless] cp - Vector of coefficients of pressure at the nodes [unitless] Properties Used: N/A
def SUAVE.Methods.Aerodynamics.Airfoil_Panel_Method.infl_coeff.infl_coeff | ( | x, | |
y, | |||
xbar, | |||
ybar, | |||
st, | |||
ct, | |||
npanel, | |||
nalpha, | |||
nRe, | |||
batch_analyis | |||
) |
Compute the matrix of aerodynamic influence coefficients for later use Assumptions: None Source: None Inputs x - Vector of x coordinates of the surface nodes [unitless] y - Vector of y coordinates of the surface nodes [unitless] xbar - x-coordinate of the midpoint of each panel [unitless] ybar - y-coordinate of the midpoint of each panel [unitless] st - np.sin(theta) for each panel [radians] ct - np.cos(theta) for each panel [radians] npanel - Number of panels on the airfoil [unitless] Outputs ainfl - Aero influence coefficient matrix [unitless] Properties Used: N/A
def SUAVE.Methods.Aerodynamics.Airfoil_Panel_Method.panel_geometry.panel_geometry | ( | x, | |
y, | |||
npanel, | |||
nalpha, | |||
nRe | |||
) |
Computes airfoil surface panelization parameters for later use in the computation of the matrix of influence coefficients. Assumptions: None Source: None Inputs: x - Vector of x coordinates of the surface nodes [unitless] y - Vector of y coordinates of the surface nodes [unitless] npanel - Number of panels on the airfoil [unitless] Outputs: l - Panel lengths [unitless] st - np.sin(theta) for each panel [radians] ct - np.cos(theta) for each panel [radians] xbar - x-coordinate of the midpoint of each panel [unitless] ybar - y-coordinate of the midpoint of each panel [unitless] Properties Used: N/A
def SUAVE.Methods.Aerodynamics.Airfoil_Panel_Method.thwaites_method.thwaites_method | ( | npanel, | |
nalpha, | |||
nRe, | |||
L, | |||
RE_L, | |||
X_I, | |||
VE_I, | |||
DVE_I, | |||
batch_analysis, | |||
tol, | |||
THETA_0 | |||
) |
Computes the boundary layer characteristics in laminar flow pressure gradients Source: Thwaites, Bryan. "Approximate calculation of the laminar boundary layer." Aeronautical Quarterly 1.3 (1949): 245-280. Assumptions: None Inputs: npanel - number of points on surface [unitless] nalpha - number of angle of attacks [unitless] nRe - number of reynolds numbers [unitless] batch_analysis - flag for batch analysis [boolean] THETA_0 - initial momentum thickness [m] L - normalized length of surface [unitless] RE_L - Reynolds number [unitless] X_I - x coordinate on surface of airfoil [unitless] VE_I - boundary layer velocity at transition location [m/s] DVE_I - initial derivative value of boundary layer velocity at transition location [m/s-m] tol - boundary layer error correction tolerance [unitless] Outputs: RESULTS. X_T - reshaped distance along airfoil surface [unitless] THETA_T - momentum thickness [m] DELTA_STAR_T - displacement thickness [m] H_T - shape factor [unitless] CF_T - friction coefficient [unitless] RE_THETA_T - Reynolds number as a function of momentum thickness [unitless] RE_X_T - Reynolds number as a function of distance [unitless] DELTA_T - boundary layer thickness [m] Properties Used: N/A
def SUAVE.Methods.Aerodynamics.Airfoil_Panel_Method.velocity_distribution.velocity_distribution | ( | qg, | |
x, | |||
y, | |||
xbar, | |||
ybar, | |||
st, | |||
ct, | |||
alpha, | |||
Re, | |||
npanel | |||
) |
Compute the tangential velocity distribution at the midpoint of each panel Source: None Assumptions: None Inputs: qg - Vector of source/sink and vortex strengths [unitless] x - Vector of x coordinates of the surface nodes [unitless] y - Vector of y coordinates of the surface nodes [unitless] xbar - x-coordinate of the midpoint of each panel [unitless] ybar - y-coordinate of the midpoint of each panel [unitless] st - np.sin(theta) for each panel [radians] ct - np.cos(theta) for each panel [radians] al - Angle of attack in radians [radians] npanel - Number of panels on the airfoil [unitless] Outputs: vt_2d - Vector of tangential velocities Properties Used: N/A