spheresProblem.frink

View or download spheresProblem.frink in plain text format


// This solves for the temperature of a rotating sphere in space receiving
// energy from the sun.
use systemSolver2.frink
symbolicMode[true]

ball = new System[[Pout === area eSubst sigma Tsphere^4,
                            Puniv === area eUniverse sigma Tuniv^4,
                            Tuniv === 2.725 K,
                            eUniverse === 1,
                            collectingArea === pi r^2,
                            Pfromsun === (Psun / (4 pi dsun^2)) collectingArea,
                            Psun === sunpower,
                            Pout === Puniv + Pfromsun,
                            1 === eSubst + rSubst + aSubst,
                            area === 4 pi r^2],
                           ["sigma", "pi", "sunpower", "K"]]

println[join["\n",ball.solveAll[true]]]

println["\nSolving for silver outside:"]
args = [["rSubst", 9/10], ["aSubst", 0], ["dsun", sundist]]
results = ball.solveForValues["Tsphere", args, false]
println[join["\n",array[results]]]
println["\nEvaluated:"]
println[join["\n",eval[array[results]]]]

println["\nSolving for glass outside:"]
args = [["rSubst", .04], ["aSubst", 0.02], ["dsun", sundist]]
results = ball.solveForValues["Tsphere", args, false]
println[join["\n",array[results]]]
println["\nEvaluated:"]
println[join["\n",eval[array[results]]]]

println["\nSolving for earth:"]
args = [["rSubst", .30], ["eSubst", 0.612], ["dsun", sundist]]
results = ball.solveForValues["Tsphere", args, false]
println[join["\n",array[results]]]
println["\nEvaluated:"]
println[join["\n",eval[array[results]]]]


View or download spheresProblem.frink in plain text format


This is a program written in the programming language Frink.
For more information, view the Frink Documentation or see More Sample Frink Programs.

Alan Eliasen was born 17893 days, 18 hours, 53 minutes ago.