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HEAT TRANSFERCHAPTER 6Introduction to convection #
CH6 – INTRODUCTIONWhere we’ve been ……Basic Conduction Heat Transfer FinishedFourier’s law:Where we’re going:Begin study of convective heat transfer.Newton’s law of cooling: #
Convective transfer problem #
CH6 INTRODUCTIONKEY POINTS THIS CHAPTERWhat are the key variables when analyzing convection heat transfer?Review boundary layer concept and significanceGeneral idea of relationship between velocity and thermal profiles in a boundary layer.Effect of laminar versus turbulent flow on heat transfer potentialBoundary layer similarityThis chapter will be taught in two lectures: the first includes text book sections §6.1 to 6.4 the other includes text book sections §6.5 to 6.10 #
Convection overviewConsider a flat plate of length L, in air flow with velocity u? and temperature T?Local heat flux is: where h is the local heat transfer coefficientTotal heat transfer rate:average heat transfer coefficientDetermination of ‘h’ will rely on analytical as well as empirical data #
Convection overview (Cont’d)Same principal applies to any arbitrary shape, not just a flat plateAverage convection heat transfer coefficient:So, we need to know how h varies with x, the distance from the leading edge……..What do you think key parameters that might influence h? #
Key parameters Transfer potential: forced flow or free flowPhase change: boiling and condensationFlow conditions: laminar or turbulent flowGeometries: shape, size, position and roughness.Properties: density, viscosity, thermal conductivity, specific heat, and so on. #
ExampleGivenExperimental results for measured local heat transfer coefficient h for flow over a flat plate with a rough surfacewhere: a = coefficient x = distance from leading edgeFind expression for average heat transfer coefficient, and the relation of average heat transfer coefficient to the local coefficient #
The Convection Boundary LayersVelocity Boundary LayerFor f
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