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Question Number 136487 by physicstutes last updated on 22/Mar/21

Commented by physicstutes last updated on 22/Mar/21

$$\mathrm{The}\mathrm{figure}\mathrm{above}\mathrm{shows}\mathrm{a}\mathrm{system}\mathrm{of}\mathrm{two}\mathrm{slaps}\mathrm{with}\mathrm{a}\mathrm{space}\mathrm{inbetween}\mathrm{them}$$$$,\mathrm{given}\mathrm{that}\mathrm{the}\mathrm{respective}\mathrm{thermal}\mathrm{conductivities}\mathrm{of}\mathrm{the}\mathrm{slap}-\mathrm{space}-\mathrm{slap}\mathrm{system}$$$$\mathrm{is}{k}_1,k_2\mathrm{and}{k}_3.\mathrm{and}\mathrm{thier}\mathrm{lenght}\left(\mathrm{or}\mathrm{thickness}\right)\mathrm{are}{y}_1,y_2\mathrm{and}{y}_3.\mathrm{Write}$$$$\mathrm{an}\mathrm{equation}\mathrm{for}\mathrm{the}\mathrm{rate}\mathrm{of}\mathrm{heat}\mathrm{transfer}\mathrm{through}\mathrm{each}\mathrm{surface}\mathrm{with}\mathrm{reference}\mathrm{to}$$$$\mathrm{the}\mathrm{temperatures}\mathrm{on}\mathrm{the}\mathrm{diagram}.\mathrm{Hence}\mathrm{arrange}\mathrm{the}\mathrm{equations}\mathrm{above}\mathrm{to}$$$$\mathrm{give}\mathrm{the}\mathrm{overall}\mathrm{rate}\mathrm{of}\mathrm{heat}\mathrm{flow}\mathrm{equation}.$$

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