one- dimensioal rod Withoutwhose lateralConsiderthinthermalsurfaceSources ofnotenergyareaisisulated.Assume thatof thethe heatlateral sides perenergy flousing out(6)unitsurfaceareaper unit timew(x,t). Devive the partialispertemperature u(nst).1s pooportional to thebetween the roddifferential equation fortheAssumethattemperature differenceandDesiveknown autside temperature.r(x,+).payA1- dep endent proportionality,where hex) isP is thecross-sectionala positivelateral perime ter, andAisthearea.

The quantity of thermal energy per unit volume is known as thermal energy density, or e(x,t).The…

Consider thin dimensional rod one- Sources of thermal energy whose lateral are a is not b) and Derive isulated. Assume that the heat of the lateral sides per is per w(x, t). Derive the partial the temperature u(x,t). is proportional to the u(x₂+) temperature difference between the rod known outside temperature √(x, t). unit time differential equation for Assume that where h(x) is w(x, t) lateral 1 cpau = 2 (K. au) - P [u(x₁+) = x (x₂+)]h(x). A energy flowing out surface area withou surface P is the cross-sectional area. positive perimeter, and x-dependent proportionalite the A is

Consider thin dimensional rod one- Sources of thermal energy whose lateral are a is not b) and Derive isulated. Assume that the heat of the lateral sides per is per w(x, t). Derive the partial the temperature u(x,t). is proportional to the u(x₂+) temperature difference between the rod known outside temperature √(x, t). unit time differential equation for Assume that where h(x) is w(x, t) lateral 1 cpau = 2 (K. au) - P [u(x₁+) = x (x₂+)]h(x). A energy flowing out surface area withou surface P is the cross-sectional area. positive perimeter, and x-dependent proportionalite the A is

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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