Heat Transfer pdf

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Heat Transfer pdf

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[...]... fluids and in the wall of the heat exchanger The governing parameters for the heat rate transferred between the two fluids will be discussed now The quantity of the transferred heat rate Q can be defined by the heat transfer coefficient α, the heat transfer surface area A and the temperature difference Δϑ The heat transfer coefficient defines the heat rate Q transferred per unit transfer area A and per unit... temperature difference With known heat transfer coefficients, the heat rate at every location of the heat exchanger, shown in Figure 1.3, can be determined In engineering, however, not the local but the total transferred heat is of interest To determine the overall heat transfer rate, the local heat flux density must be integrated over the total heat transfer area The total transferred heat rate is: A Q = k ⋅... these goals, an exact prediction of heat transfer processes is required To design a heat exchanger or a complete plant, in which heat is transferred, exact knowledge of the heat transfer processes is mandatory to ensure the greatest efficiency and the lowest total costs Table 1.1 gives an overview of heat transfer applications Table 1.1: Area of heat transfer applications Heating, ventilating and air conditioning... temperature 1.2.1 Heat (transfer) rate and heat flux The heat rate, also called heat transfer rate Q is the amount of heat transferred per unit time It has the unit Watt W A further important parameter is the heat flux density q = Q / A , which defines the heat rate per unit area Its unit is Watt per square meter W/m2 1.2.2 Heat transfer coefficients and overall heat transfer coefficients The description... What is heat transfer? Where is heat transfer applied? Heat transfer is the transport of thermal energy, due to a spacial temperature difference If a spacial temperature difference is present within a system or between systems in thermal contact to each other, heat transfer occurs The application of the science of heat transfer can be easily demonstrated with the example of a radiator design Heating... determine the quantity of the transferred heat Heat transfer describes the dependencies of the heat transfer rate from a corresponding temperature difference and other physical conditions The thermodynamics terms “control volume” and “system” are also common in heat transfer A system can be a material, a body or a combination of several materials or bodies, which transfer to or receive heat from another system... wall, as shown in Figure 2.1, on the one side a heat source emitting a constant heat flux and a heat sink on the other side absorbing this heat flux, are required This could be, for example, on one side a moving warm fluid, that delivers the heat rate, and a cold fluid on the side, receiving the heat rate This is the case in heat exchangers, where heat is transferred through a solid wall from a fluid... through a solid wall from a fluid 1 to a fluid 2 Figure 2.2 shows the plane wall of a heat exchanger, in which the heat is transferred from a warm fluid with the temperature ϑf1 and a given heat transfer coefficient αf1 to a cold fluid with the temperature ϑf2 and a given heat transfer coefficient αf2 Here the fluid heat transfer coefficients are assumed as known values Their determination will be discussed... delivers: Q⋅ 1 α f1 + 1 αW + 1 αf2 = A ⋅ (ϑ f 1 − ϑ f 2 ) (2.11) The overall heat transfer coefficient is: 1 1 1 1 = + + k α f 1 αW α f 2 (2.12) The reciprocal of the overall heat transfer coefficient is the sum of the reciprocals of the heat transfer coefficients The reciprocal of the product of heat transfer coefficient and transfer surface area 1/(α A) is a thermal resistance The thermal resistances... value as the one transferred to fluid 1 and also have the same value as the heat rate through the pipe wall δQ1 = δQ2 = δQW = δQ (1.4) In most cases, the wall temperatures are unknown and the engineer is interested in knowing the total heat rate transferred from fluid 2 to fluid 1 For its determination the overall heat transfer coefficient k is required It has the same unit as the heat transfer coefficient . Introduction and definitions 1 1.1 Modes of heat transfer 3 1.2 Definitions 4 1.2.1 Heat (transfer) rate and heat flux 4 1.2.2 Heat transfer coefficients and overall heat transfer coefficients 4 1.2.3 Rate. the heat transfer coefficient α , the heat transfer surface area A and the temperature difference Δϑ . The heat transfer coefficient defines the heat rate Q  transferred per unit transfer. (transfer) rate and heat flux The heat rate, also called heat transfer rate Q  is the amount of heat transferred per unit time. It has the unit Watt W. A further important parameter is the heat flux

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Mục lục

  • 1 Introduction and definitions

    • 1.1 Modes of heat transfer

    • 1.2 Definitions

      • 1.2.1 Heat (transfer) rate and heat flux

      • 1.2.2 Heat transfer coefficients and overall heat transfer coefficients

      • 1.2.5 Log mean temperature difference

      • 2. What are you looking for?

      • 3. How is the system defined?

      • 2 Thermal conduction in static materials

        • 2.1 Steady-state thermal conduction

          • 2.1.1 Thermal conduction in a plane wall

          • 2.1.2 Heat transfer through multiple plane walls

          • 2.1.3 Thermal conduction in a hollow cylinder

          • 2.1.4 Hollow cylinder with multiple layers

          • 2.1.5 Thermal conduction in a hollow sphere

          • 2.1.6 Thermal conduction with heat flux to extended surfaces

          • 2.2 Transient thermal conduction

            • 2.2.1 One-dimensional transient thermal conduction

            • 2.2.1.1 Determination of the temporal change of temperature

            • 2.2.1.2 Determination of transferred heat

            • 2.2.1.3 Special solutions for short periods of time

            • 2.2.3 Special cases at Bi = 0 and Bi = ∞

            • 2.2.4 Temperature changes at small Biot numbers

            • 2.2.5.3 Selection of the grid spacing and of the time interval

            • 3.2 Determination of heat transfer coefficients

              • 3.2.1 Flow in a circular tube

                • 3.2.1.1 Turbulent flow in circular tubes

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