HEAT-TRANSFER IN A VISCOELASTIC FLUID OVER A STRETCHING SHEET

被引:84
作者
VAJRAVELU, K
ROLLINS, D
机构
[1] Department of Mathematics, University of Central Florida, Orlando
关键词
D O I
10.1016/0022-247X(91)90280-D
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
An analysis is carried out to study the heat transfer characteristics in a viscoelastic fluid over a stretching sheet with frictional heating and internal heat generation or absorption. Two cases are studied, namely (i) the sheet with prescribed surface temperature (PST case) and (ii) the sheet with prescribed wall heat flux (PHF case). The solutions for the temperature, the heat transfer characteristics and their asymptotic limits for large and small Prandtl numbers are obtained in terms of Kummer's and parabolic cylinder functions. For large Prandtl numbers, a boundary layer width of √ 1 Pr is noticed in both PST and PHF cases. Furthermore, it is shown that there is no boundary layer type of solution for small Prandtl number. © 1991.
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页码:241 / 255
页数:15
相关论文
共 12 条
[1]  
ABRAMOWITZ M., 1972, HDB MATH FUNCTIONS, V55
[2]   ELASTICO-VISCOUS BOUNDARY-LAYER FLOWS .I. 2-DIMENSIONAL FLOW NEAR STAGNATION POINT [J].
BEARD, DW ;
WALTERS, K .
PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1964, 60 (03) :667-&
[3]   HEAT-TRANSFER OF A CONTINUOUS, STRETCHING SURFACE WITH SUCTION OR BLOWING [J].
CHEN, CK ;
CHAR, MI .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1988, 135 (02) :568-580
[4]  
Coleman B. D., 1960, ARCH RATION MECH AN, V6, P355, DOI DOI 10.1007/BF00276168
[5]   NONSIMILAR MOVING-WALL BOUNDARY-LAYER PROBLEM [J].
DANBERG, JE ;
FANSLER, KS .
QUARTERLY OF APPLIED MATHEMATICS, 1976, 34 (03) :305-310
[6]   HEAT AND MASS TRANSFER ON A MOVING CONTINUOUS FLAT PLATE WITH SUCTION OR INJECTION [J].
ERICKSON, LE ;
FAN, LT ;
FOX, VG .
INDUSTRIAL & ENGINEERING CHEMISTRY FUNDAMENTALS, 1966, 5 (01) :19-&
[7]   LAMINAR BOUNDARY LAYER ON A MOVING CONTINUOUS FLAT SHEET IMMERSED IN A NON-NEWTONIAN FLUID [J].
FOX, VG ;
ERICKSON, LE ;
FAN, LT .
AICHE JOURNAL, 1969, 15 (03) :327-&
[8]   HEAT AND MASS-TRANSFER ON A STRETCHING SHEET WITH SUCTION OR BLOWING [J].
GUPTA, PS ;
GUPTA, AS .
CANADIAN JOURNAL OF CHEMICAL ENGINEERING, 1977, 55 (06) :744-746
[9]   FLOW OF A VISCOELASTIC FLUID OVER A STRETCHING SHEET [J].
RAJAGOPAL, KR ;
NA, TY ;
GUPTA, AS .
RHEOLOGICA ACTA, 1984, 23 (02) :213-215