Melting heat transfer in a boundary layer flow of a second grade fluid under Soret and Dufour effects

2013 ◽  
Vol 23 (7) ◽  
pp. 1155-1168 ◽  
Author(s):  
T. Hayat ◽  
M. Hussain ◽  
M. Awais ◽  
S. Obaidat
Keyword(s):  
Heat Transfer ◽  
Boundary Layer ◽  
Boundary Layer Flow ◽  
Second Grade ◽  
Second Grade Fluid ◽  
Soret And Dufour Effects ◽  
Melting Heat ◽  
Melting Heat Transfer ◽  
Grade Fluid ◽  
Layer Flow

scholarly journals Analysis of Boundary Layer Flow and Heat Transfer for two Classes of Viscoelastic Fluid Over a Stretching Sheet with Heat Generation or Absorption

1970 ◽  
Vol 46 (4) ◽  
pp. 451-456 ◽  
Author(s):  
K Bhattacharyya ◽  
MS Uddin ◽  
GC Layek ◽  
W Ali Pk
Keyword(s):  
Heat Transfer ◽  
Boundary Layer ◽  
Viscoelastic Fluid ◽  
Heat Generation ◽  
Boundary Layer Flow ◽  
Stretching Sheet ◽  
Second Grade ◽  
Grade Fluid ◽  
Heat Generation Or Absorption ◽  
Layer Flow

In this paper, we obtained solutions of boundary layer flow and heat transfer for two classes of viscoelastic fluid over a stretching sheet with internal heat generation or absorption. In the analysis, we consider second-grade fluid and Walter's liquid B. The governing equations are transformed into self-similar ordinary differential equations by similarity transformations. The flow equation relating to momentum is solved analytically and then the heat equation using the Kummer's function. The analysis reveals that for the increase in magnitude of viscoelastic parameter both the velocity and temperature for a fixed point increase for second-grade fluid and both decrease for Walter's liquid B. Due to increase in Prandtl number and heat sink parameter, the thermal boundary layer thickness reduces, whereas increasing heat source parameter increases that thickness. Key words: Boundary layer flow; Heat transfer; Viscoelastic fluid; Stretching sheet; Heat generation or absorption DOI: http://dx.doi.org/10.3329/bjsir.v46i4.9590 BJSIR 2011; 46(4): 451-456

Boundary layer flow and melting heat transfer of Prandtl fluid over a stretching surface by considering Joule heating effect

2019 ◽  
Vol 15 (2) ◽  
pp. 337-352 ◽  
Author(s):  
K. Ganesh Kumar ◽  
M.R. Krishnamurthy ◽  
Rudraswamy N.G.
Keyword(s):  
Heat Transfer ◽  
Boundary Layer ◽  
Boundary Layer Flow ◽  
Stretching Surface ◽  
Content Type ◽  
Melting Heat ◽  
Boundary Layer Equations ◽  
Melting Heat Transfer ◽  
Layer Flow ◽  
Linear Radiation

PurposeThe purpose of this paper is to study the impact of Joule heating on boundary layer flow and melting heat transfer of Prandtl fluid over a stretching sheet in the presence of fluid particles suspension. The transformed boundary layer equations are solved numerically by RKF-45 method. The influence of the non-dimensional parameters on velocity and temperature growths in the boundary layer region is analyzed in detail and the results are shown graphically. The results indicate that the larger estimation ofαandβreduces for both velocity and temperature profile. Further, the rate of heat transfer decreases by increasing melting parameter.Design/methodology/approachThe converted set of boundary layer equations is solved numerically by RKF-45 method. Obtained numerical results for flow and heat transfer characteristics are deliberated for various physical parameters. Furthermore, the skin friction coefficient and Nusselt number are also presented.FindingsIt is found that the heat transfer rates are advanced in the occurrence of non-linear radiation camper to linear radiation. Also, it is noticed that velocity profile increases by increasing Prandtl parameter but establishes opposite results for temperature profile.Originality/valueThe authors intend to analyze the boundary layer flow and melting heat transfer of a Prandtl fluid over a stretching surface in the presence of fluid particles suspension. The governing systems of partial differential equations have been transformed to a set of coupled ordinary differential equations by applying appropriate similarity transformations. The reduced equations are solved numerically. The pertinent parameters are discussed through graphs and plotted graphs. The present results are compared with the existing limiting solutions, showing good agreement with each other.

scholarly journals Melting heat transfer in the stagnation-point flow of third grade fluid past a stretching sheet with viscous dissipation

2013 ◽  
Vol 17 (3) ◽  
pp. 865-875 ◽  
Author(s):  
Tasawar Hayat ◽  
Zahid Iqbal ◽  
Meraj Mustafa ◽  
Awatif Hendi
Keyword(s):  
Heat Transfer ◽  
Boundary Layer ◽  
Stagnation Point ◽  
Stretching Sheet ◽  
Third Grade ◽  
Third Grade Fluid ◽  
Melting Heat ◽  
Melting Heat Transfer ◽  
Grade Fluid ◽  
Layer Flow

An analysis has been carried out for the characteristics of melting heat transfer in the boundary layer flow of third grade fluid in a region of stagnation point past a stretching sheet. The relevant partial differential equations are reduced into ordinary differential system by suitable transformations. The series solutions are developed by homotopy analysis method (HAM). It is revealed that an increase in the melting parameter (M ) decreases the velocity and the temperature (? ). An increase in the third grade parameter (? ) increases the velocity and the boundary layer thickness. The present results are also compared with the previous studies.

Stagnation-point flow of Jeffrey fluid with melting heat transfer and Soret and Dufour effects

2014 ◽  
Vol 24 (2) ◽  
pp. 402-418 ◽  
Author(s):  
T. Hayat ◽  
Z. Iqbal ◽  
M. Mustafa ◽  
A. Alsaedi
Keyword(s):  
Heat Transfer ◽  
Boundary Layer ◽  
Stagnation Point ◽  
Thermal Diffusion ◽  
Boundary Layer Flow ◽  
Stretching Sheet ◽  
Jeffrey Fluid ◽  
Content Type ◽  
Melting Heat ◽  
Layer Flow

Purpose – This investigation has been carried out for thermal-diffusion (Dufour) and diffusion-thermo (Soret) effects on the boundary layer flow of Jeffrey fluid in the region of stagnation-point towards a stretching sheet. Heat transfer occurring during the melting process due to a stretching sheet is considered. The paper aims to discuss these issues. Design/methodology/approach – The authors convert governing partial differential equations into ordinary differential equations by using suitable transformations. Analytic solutions of velocity and temperature are found by using homotopy analysis method (HAM). Further graphs are displayed to study the salient features of embedding parameters. Expressions of skin friction coefficient, local Nusselt number and local Sherwood number have also been derived and examined. Findings – It is found that velocity and the boundary layer thickness are increasing functions of viscoelastic parameter (Deborah number). An increase in the melting process enhances the fluid velocity. An opposite effect of melting heat process is noticed on velocity and skin friction. Practical implications – The boundary layer flow in non-Newtonian fluids is very important in many applications including polymer and food processing, transpiration cooling, drag reduction, thermal oil recovery and ice and magma flows. Further, the thermal diffusion effect is employed for isotope separation and in mixtures between gases with very light and medium molecular weight. Originality/value – Very scarce literature is available on thermal-diffusion (Dufour) and diffusion-thermo (Soret) effects on the boundary layer flow of Jeffrey fluid in the region of stagnation-point towards a stretching sheet with melting heat transfer. Series solution is developed using HAM. Further, the authors compare the present results with the existing in literature and found excellent agreement.

Melting Heat Transfer From a Horizontal Ice Cylinder Immersed in Quiescent Saline Water

1992 ◽  
Vol 114 (1) ◽  
pp. 34-40 ◽  
Author(s):  
S. Fukusako ◽  
M. Tago ◽  
M. Yamada ◽  
K. Kitayama ◽  
C. Watanabe
Keyword(s):  
Heat Transfer ◽  
Boundary Layer ◽  
Saline Water ◽  
Melting Heat ◽  
Ice Surface ◽  
Melting Heat Transfer ◽  
Melting Characteristics ◽  
Transfer Behavior ◽  
Layer Flow ◽  
Bidirectional Flow

The melting characteristics of a horizontal circular ice cylinder immersed in quiescent saline water were determined experimentally. The experiments were carried out in 3.5 wt% saline water for ambient liquid temperatures ranging from 2.8 to 20.3°C. It was observed that the flow consisted of a laminar bidirectional flow at the lower portion of the melting ice cylinder, and an upward turbulent flow at the upper portion of the cylinder, and that the melting ice surface was characterized variously by secondary flow caused by instabilities based on buoyancy forces in the boundary layer flow. It was also found that the melting heat transfer behavior was markedly affected by the character of the flow in the boundary layer.

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