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a) Equation 5.1 may be used to determine the steady state temperature as a function of distance along a flowing pipeline. What assumptions are embedded within Equation 5.1? Where T(x) = Tin = T₁ = m = Cp r = = U x = T(x) = T₂+ Tin-Ta (2xrU mCp Bulk fluid temperature at distance x from pipeline inlet / "C Fluid inlet temperature / "C Temperature of surroundings / "C Mass flow rate of fluid / kg s¹ Fluid specific heat capacity at constant pressure / J kg:¹ C-1 Pipe outer radius/m Overall heat transfer coefficient / W m2 C-1 Distance from pipeline inlet / m Equation 5.1

a) Equation 5.1 may be used to determine the steady state temperature as a function of distance along a flowing pipeline. What assumptions are embedded within Equation 5.1? Where T(x) = Tin = T₁ = m = Cp r = = U x = T(x) = T₂+ Tin-Ta (2xrU mCp Bulk fluid temperature at distance x from pipeline inlet / "C Fluid inlet temperature / "C Temperature of surroundings / "C Mass flow rate of fluid / kg s¹ Fluid specific heat capacity at constant pressure / J kg:¹ C-1 Pipe outer radius/m Overall heat transfer coefficient / W m2 C-1 Distance from pipeline inlet / m Equation 5.1

Introduction to Chemical Engineering Thermodynamics
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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a) Equation 5.1 may be used to determine the steady state temperature as a function of distance along a flowing pipeline. What assumptions are embedded within Equation 5.1? b) c) Where T(x) = Tin = T₁ = m = Cp = r = U = x = T(x) = T₂ + Tin - Ta (2πrU mcp Bulk fluid temperature at distance x from pipeline inlet / °C Fluid inlet temperature / "C Temperature of surroundings / *C Mass flow rate of fluid/kg s²¹ Fluid specific heat capacity at constant pressure / J kg:¹ C²-1 Pipe outer radius/m Overall heat transfer coefficient / W m² C²-1 Distance from pipeline inlet / m Equation 5.1 6.00 kg s¹ of a fluid with a specific heat capacity at constant pressure of 3.625 kJ kg¹ K¹ and a temperature of 90.0 °C enters a pipeline of 0.726 m inner diameter. The pipeline is situated in an environment in which the ambient temperature is 4.0 °C. The temperature at a distance of 5.00 km along the pipeline is measured to be 17.0 °C. Determine the overall heat transfer coefficient. 1.865 x 106 Sm³ day¹ of water-saturated natural gas with a specific gravity of 0.7 enters a pipeline at 35.0 °C and 7.00 MPa. The temperature and pressure at the pipeline outlet are 4.5 °C and 4.20 MPa respectively. Clearly showing all necessary steps and working, determine the volumetric flow rate of methanol required to be injected into the gas stream to prevent hydrate formation. The density and molecular weight of methanol are 800 kg m³ and 32.0 g mol¹ respectively.
Transcribed Image Text:a) Equation 5.1 may be used to determine the steady state temperature as a function of distance along a flowing pipeline. What assumptions are embedded within Equation 5.1? b) c) Where T(x) = Tin = T₁ = m = Cp = r = U = x = T(x) = T₂ + Tin - Ta (2πrU mcp Bulk fluid temperature at distance x from pipeline inlet / °C Fluid inlet temperature / "C Temperature of surroundings / *C Mass flow rate of fluid/kg s²¹ Fluid specific heat capacity at constant pressure / J kg:¹ C²-1 Pipe outer radius/m Overall heat transfer coefficient / W m² C²-1 Distance from pipeline inlet / m Equation 5.1 6.00 kg s¹ of a fluid with a specific heat capacity at constant pressure of 3.625 kJ kg¹ K¹ and a temperature of 90.0 °C enters a pipeline of 0.726 m inner diameter. The pipeline is situated in an environment in which the ambient temperature is 4.0 °C. The temperature at a distance of 5.00 km along the pipeline is measured to be 17.0 °C. Determine the overall heat transfer coefficient. 1.865 x 106 Sm³ day¹ of water-saturated natural gas with a specific gravity of 0.7 enters a pipeline at 35.0 °C and 7.00 MPa. The temperature and pressure at the pipeline outlet are 4.5 °C and 4.20 MPa respectively. Clearly showing all necessary steps and working, determine the volumetric flow rate of methanol required to be injected into the gas stream to prevent hydrate formation. The density and molecular weight of methanol are 800 kg m³ and 32.0 g mol¹ respectively.
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