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    <div id="content"><h1>Abstract</h1>
			<h2>The Gradient in Steady State Heat Conduction</h2>
			<p>
				Interactive exercises on temperature and heat flow and
				discussion of laboratory observations lead to the statement of
				the fundamental law of heat conduction
			</p>
			<p><div class="equation" align="center">
				<m:math>
					<m:mover>
						<m:mi>q</m:mi>
						<m:mo>⇀</m:mo>
					</m:mover>
					<m:mo>=</m:mo>
					<m:mo>-</m:mo>
					<m:mi>k</m:mi>
					<m:mo>⁢</m:mo>
					<m:mi>grad</m:mi>
					<m:mo>⁢</m:mo>
					<m:mi>T</m:mi>
				</m:math>
			<br/><b><i>Equation
				1</i></b></div></p> 
			<p>
				which relates the temperature distribution
				<m:math>
					<m:mi>T</m:mi>
					<m:mo>=</m:mo>
					<m:mi>T</m:mi>
					<m:mo>⁡</m:mo>
					<m:mfenced>
						<m:mrow>
							<m:mi>x</m:mi>
							<m:mi>y</m:mi>
							<m:mi>z</m:mi>
						</m:mrow>
					</m:mfenced>
				</m:math>
				and heat flux vector,
				<m:math>
					<m:mover>
						<m:mi>q</m:mi>
						<m:mo>⇀</m:mo>
					</m:mover>
				</m:math>,
				at a point in space.  The scalar proportionality factor,
				<m:math>
					<m:mi>k</m:mi>
				</m:math>,
				is called the <i>thermal conductivity</i>. Several
				examples of steady state, one dimensional Cartesian and
				cylindrical heat flow, for constant and non-constant
				<m:math>
					<m:mi>k</m:mi>
				</m:math>,
				provide practice in integration, solving simple ordinary
				differential equations and the physical understanding of real
				problems.
			</p>
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