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Technical Brief

On the Radiative Heat Transfer in a Viscoelastic Boundary Layer Flow Over a Stretching Sheet

[+] Author and Article Information
Chava Y P D Phani Rajanish

Department of Mechanical Engineering,
KL University,
Vaddeswaram,
Guntur 522502, India
e-mail: phanirajanish@gmail.com

B. Nageswara Rao

Department of Mechanical Engineering,
KL University,
Vaddeswaram,
Guntur 522502, India
e-mails: bnrao52@rediffmail.com;
bnrao52@kluniversity.in

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received April 21, 2016; final manuscript received July 28, 2016; published online August 30, 2016. Assoc. Editor: Zhuomin Zhang.

J. Heat Transfer 139(1), 014501 (Aug 30, 2016) (3 pages) Paper No: HT-16-1219; doi: 10.1115/1.4034351 History: Received April 21, 2016; Revised July 28, 2016

Many researchers have studied the radiative heat transfer in a viscoelastic boundary layer flow over a stretching sheet after simplifying the complex nature of the radiative heat flux by expanding the fourth power of temperature (T4) in Taylor series about free-stream temperature (T) and neglecting the higher-order terms. Similarity solutions obtained by them are found to be valid only in the asymptotic region. This article suggests a modification in the linearization of T4 by introducing wall temperature (Tw) as well as freestream temperature (T) to capture the realistic nature of the temperature distribution in the boundary layer flows from locally nonsimilar solutions.

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Figures

Grahic Jump Location
Fig. 1

Comparison of (T/T∞)4 profiles to examine the validity of the linearization process

Grahic Jump Location
Fig. 2

Comparison of the results of (T/T∞)4 to examine the accuracy of the linearization process

Grahic Jump Location
Fig. 3

Comparison of the nondimensional temperature (θ) profiles for NR0=1, σ=3, A*=B*=0.2, Ec=0.1, k1=0.1 and (Tw/T∞)=1.5

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