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Solution Manual for Heat Transfer , 1st Edition

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P1.1-2 (1-1 in text): Conductivity of a dilute gasSection 1.1.2 provides an approximation for the thermal conductivity of a monatomic gas at idealgas conditions. Test the validity of this approximation by comparing the conductivity estimatedusing Eq. (1-18) to the value of thermal conductivity for a monotonic ideal gas (e.g., lowpressure argon) provided by the internal function in EES.Note that the molecular radius,σ, isprovided in EES by the Lennard-Jones potential using the functionsigma_LJ.a.)What is the value and units of the proportionality constant required to make Eq. (1-18) anequality?Equation (1-18) is repeated below:2vcTkMWσ∝(1)Equation (1) is written as an equality by including a constant of proportionality (Ck):2vkcTkCMWσ=(2)Solving forCkleads to:2kvkMWCcTσ=(3)which indicates thatCkhas units m-kg1.5/s-kgmol05-K0.5.The inputs are entered in EES for Argon at relatively low pressure (0.1 MPa) and 300 K."Problem 1.1-2"$UnitSystem SI MASS RAD PA K J$TABSTOPS0.2 0.4 0.6 0.8 3.5 inT=300 [K]"temperature"F$='Argon'"fluid"P_MPa=0.1 [MPa]"pressure, in MPa"P=P_MPa*convert(MPa, Pa)"pressure"The conductivity, specific heat capacity, Lennard-Jones potential, and molecular weight ofArgon (k,cv,σ, andMW) are evaluated using EES' built-in funcions.Equation (3) is used toevaluate the proportionality constant.k=conductivity(F$,T=T,P=P)"conductivity"cv=cv(F$,T=T,P=P)"specific heat capacity at constant volume"MW=molarMass(F$)"molecular weight"sigma=sigma_LJ(F$)"Lennard-Jones potential"C_k=k*sigma^2*sqrt(MW/T)/cv"constant of proportionality"

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Subject
Mechanical Engineering
Textbook
Heat Transfer by Gregory Nellis, Sa...

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