# A spherical container of inner radius r 1 = 2 m, outer radius r 2 = 2.1

## Question:

A spherical container of inner radius r_{1} = 2 m, outer radius r_{2} = 2.1 m, and thermal conductivity k = 30 W/m · K is filled with iced water at 0°C. The container is gaining heat by convection from the surrounding air at T∞ = 25°C with a heat transfer coefficient of h = 18 W/m^{2 }· K. Assuming the inner surface temperature of the container to be 0°C,

(a) Express the differential equation and the boundary conditions for steady one-dimensional heat conduction through the container,

(b) Obtain a relation for the variation of temperature in the container by solving the differential equation,

(c) Evaluate the rate of heat gain to the iced water.

## Step by Step Answer:

**Related Book For**

## Heat And Mass Transfer Fundamentals And Applications

**ISBN:** 9780073398181

5th Edition

**Authors:** Yunus Cengel, Afshin Ghajar