Details please 13. (Heat Transfer) The transfer of heat energy through matter, r

Question

Details please

13. (Heat Transfer) The transfer of heat energy through matter, referred to as heat conduction, is always from a region of higher temperature to one of lower temperature. It occurs by transferring energy from atom to atom within a substance. With uniform temperatures on either side of equal-sized sürfaces, the rate of heat flow through a substance is provided by Fouriers law of heat conduction, which becomes the following formula: T-T) 0 0 is heat per unit time per unit area (Watts/m2 or BTU/hrft) k is the thermal conductivity, which is a property of a substance that indicates its capability to conduct heat (Watts/m K or BTU/hrft F) T, is the hotter temperature "F or K). r, is the cooler temperature ( orK). a is the width of the substance (ft or m). a. Write, compile, and exccute a C++ program that calculates and displays the heat transfer through a substance. The inputs should be the substance's thermal conduc- tivity, its width, and temperatures on either side of it. Your program should determine which unit system is used, item by item, and then convert units as necessary so that a consistent unit system (SI or English Engineering) is used in the final determination of 0. Tike output should display the value of Q in both unit systems. b, Verify that your program is working by hand-calculating the heat transfer through a cement wall with a thermal conductivity of .29 Watts/m K and a thickness of 15 cm. One side of the wall is at a constant temperature of 32 C, and the other side is -7 C.

Explanation / Answer

Code:

#include <iostream>

using namespace std;

//function to calculate heat transfer using given formula
float heat_transfer(float k, float T2, float T1, float w)
{
return (k * (T2 - T1) / w);
}

int main()
{
float k = 0.29; // in Watts/mK
float T2 = 305.15; //32C in Kelvin
float T1 = 266.15; //-7C in Kelvin
float w = 0.15; //15cm in m

float Q = heat_transfer(k, T2, T1, w); //Calulate heat flux density in W/m^2
float Q_BTU = Q * 0.316998331; //Calulate heat flux density in BTU/hr*ft^2

//Display output
cout << "Rate of heat flow for given parameters is " << Q << " Watts/m^2" << endl;
cout << "Rate of heat flow for given parameters is " << Q_BTU << " BTU/hr*ft^2" << endl;

return 0;
}

OUTPUT

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