Total flux emitted to a surface through a layer of MLI

Compute temperatures on a radiation shield with MLI. The surface flux is an input and is what is left after accounting for the heat exchanger.

        qS      Incoming flux
      ------    Outer wall
      *****     MLI layers
      ------    Inner wall
        qI      Emitted flux

%--------------------------------------------------------------------------
% See also RadiationShield, OptimalMLIDensity
%--------------------------------------------------------------------------

%--------------------------------------------------------------------------
%	Copyright (c) 2018 Princeton Satellite Systems, Inc.
%   All rights reserved.
% 2023.1 Added to Thermal module
%--------------------------------------------------------------------------

d = RadiationShield;

d.n = 200;    % layers of MLI protecting coils

% Incoming flux
d.qS = 1367;   % Surface flux (W/m^2)
d.epsI = 0.2; % Emittance of inner MLI wall

StructToText(d)

[tS, tI, qI, k, out] = RadiationShield(d);

fprintf(1,'Outer wall temperature %12.2f deg-K\n',tS);
fprintf(1,'Inner wall temperature %12.2f deg-K\n',tI);
fprintf(1,'Inner wall flux        %12.2e  W/m^2\n',qI);
fprintf(1,'MLI conductance        %12.2e  W/m^2-K\n',k);
fprintf(1,'MLI thickness          %12.2f  cm\n',d.n/out.nD);

%--------------------------------------

% $Id: 47929df1cef48ca624b4385961dbc774ffefa440 $

n:
	200
cS:
	2.98e-08
cR:
	5.86e-10
gamma:
	2.84
epsTR:
	0.043
alphaS:
	0.3
epsS:
	0.9
epsI:
	0.2
qS:
	1367
tol:
	1

Outer wall temperature       299.40 deg-K
Inner wall temperature        50.04 deg-K
Inner wall flux            7.11e-02  W/m^2
MLI conductance            2.85e-04  W/m^2-K
MLI thickness                 10.91  cm

Published with MATLAB® R2024a