Optimization of a Parallel Plate Heat Sink Using Volume Averaging Theory

2005 ◽  
Author(s):  
Benjamin A. Blake ◽  
Ivan Catton
Keyword(s):  
Heat Sink ◽  
Parallel Plate ◽  
Volume Averaging ◽  
Maximum Heat ◽  
Plate Heat ◽  
Maximum Heat Transfer ◽  
Average Theory ◽  
Fin Thickness ◽  
Nusselt Number Correlation ◽  
Fin Length

A parallel plate heat sink is optimized using a model based on the volume average theory (VAT). VAT is briefly developed and the numerical scheme is described. The numerical simulation is carried out in FORTRAN. The resulting VAT solutions are verified by comparison to experimental results via a Nusselt number correlation. The procedure for optimization is described and, as an example, a heat sink of a size appropriate for cooling a CPU is optimized for minimum thermal resistance, maximum effectiveness, and maximum heat transfer rate per unit volume. Seven parameters are included in the simulations: fin thickness, fin length, fin height, fin pitch to thickness ratio, base width, base thickness, and pore Reynold’s number. Three are chosen for optimization: fin height, fin pitch, and pore Reynolds number. The responses are optimized for an aluminum heat sink.

Investigation of Maximum Heat Transfer from an Aluminum Alloy Extended Surfaces

2017 ◽  
Vol 1 (2) ◽  
Author(s):  
Raad Muzahem Fenjan
Keyword(s):  
Heat Transfer ◽  
Aluminum Alloy ◽  
Maximum Heat ◽  
Maximum Heat Transfer ◽  
Extended Surfaces ◽  
Steady State Heat ◽  
Steady State Heat Transfer ◽  
Vertical Base ◽  
Fin Thickness ◽  
Fin Length

The aim of this research is to obtain the maximum steady state heat transfer used aluminum alloy extended surfaces which obtain the optimal design for these fins. For three cases, (according to both dimension and direction of the extended surfaces): vertical fins extended from horizontal base, vertical fins extended from vertical base , and horizontal fins extended from vertical base, the natural convective, conductive and radiative heat transfer was studied experimentally and respectively the comparison between these cases were achieved.  The parameters studied were distance between fins, fin length fin thickness and fin protrusion.

scholarly journals Effect of liquid cooling on PCR performance with the parametric study of cross-section shapes of microchannels

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Yousef Alihosseini ◽  
Mohammad Reza Azaddel ◽  
Sahel Moslemi ◽  
Mehdi Mohammadi ◽  
Ali Pormohammad ◽  
...  
Keyword(s):  
Heat Transfer ◽  
Cross Section ◽  
Cross Sections ◽  
Heat Sink ◽  
Evaluation Criteria ◽  
Circular Cross Section ◽  
Microchannel Heat Sink ◽  
Liquid Cooling ◽  
Maximum Heat ◽  
Maximum Heat Transfer

AbstractIn recent years, PCR-based methods as a rapid and high accurate technique in the industry and medical fields have been expanded rapidly. Where we are faced with the COVID-19 pandemic, the necessity of a rapid diagnosis has felt more than ever. In the current interdisciplinary study, we have proposed, developed, and characterized a state-of-the-art liquid cooling design to accelerate the PCR procedure. A numerical simulation approach is utilized to evaluate 15 different cross-sections of the microchannel heat sink and select the best shape to achieve this goal. Also, crucial heat sink parameters are characterized, e.g., heat transfer coefficient, pressure drop, performance evaluation criteria, and fluid flow. The achieved result showed that the circular cross-section is the most efficient shape for the microchannel heat sink, which has a maximum heat transfer enhancement of 25% compared to the square shape at the Reynolds number of 1150. In the next phase of the study, the circular cross-section microchannel is located below the PCR device to evaluate the cooling rate of the PCR. Also, the results demonstrate that it takes 16.5 s to cool saliva samples in the PCR well, which saves up to 157.5 s for the whole amplification procedure compared to the conventional air fans. Another advantage of using the microchannel heat sink is that it takes up a little space compared to other common cooling methods.

Enhancement of Natural Convection Heat Transfer by a Staggered Array of Discrete Vertical Plates

1980 ◽  
Vol 102 (2) ◽  
pp. 215-220 ◽  
Author(s):  
E. M. Sparrow ◽  
C. Prakash
Keyword(s):  
Heat Transfer ◽  
Natural Convection ◽  
Heat Transfer Enhancement ◽  
Parallel Plate ◽  
Convection Heat Transfer ◽  
Transfer Enhancement ◽  
Enhanced Heat Transfer ◽  
Maximum Heat ◽  
Maximum Heat Transfer ◽  
Parameter Ranges

An analysis has been performed to determine whether, in natural convection, a staggered array of discrete vertical plates yields enhanced heat transfer compared with an array of continuous parallel vertical plates having the same surface area. The heat transfer results were obtained by numerically solving the equations of mass, momentum, and energy for the two types of configurations. It was found that the use of discrete plates gives rise to heat transfer enhancement when the parameter (Dh/H)Ra > ∼2 × 103 (Dh = hydraulic diameter of flow passage, H = overall system height). The extent of the enhancement is increased by use of numerous shorter plates, by larger transverse interplate spacing, and by relatively short system heights. For the parameter ranges investigated, the maximum heat transfer enhancement, relative to the parallel plate case, was a factor of two. The general degree of enhancement compares favorably with that which has been obtained in forced convection systems.

Constructal Design of Forced Convection Cooled Microchannel Heat Sinks and Heat Exchangers

2005 ◽  
Author(s):  
Y. S. Muzychka
Keyword(s):  
Heat Transfer ◽  
Parallel Plate ◽  
Rectangular Channel ◽  
Bejan Number ◽  
Square Duct ◽  
Maximum Heat ◽  
Circular Duct ◽  
Maximum Heat Transfer ◽  
Efficient Packing ◽  
Plate Channel

Heat transfer from arrays of circular and non-circular ducts subject to finite volume and constant pressure drop constraints is examined. It is shown that the optimal duct dimension is independent of the array structure and hence represents an optimal construction element. Solutions are presented for the optimal duct dimensions and maximum heat transfer per unit volume for the parallel plate channel, rectangular channel, elliptic duct, circular duct, polygonal ducts, and triangular ducts. Approximate analytical results show that the optimal shape is the isosceles right triangle and square duct due to their ability to provide the most efficient packing in a fixed volume. Whereas a more exact analysis reveals that the parallel plate channel array is in fact the superior system. An approximate relationship is developed which is very nearly a universal solution for any duct shape in terms of the Bejan number and duct aspect ratio. Finally, validation of the relationships is provided using exact results from the open literature.

Performance Analysis, Optimum and Verification for Parallel Plate Heat Sink Associated With Single Non-Uniform Heat Source

2003 ◽  
Author(s):  
Vincent Lin ◽  
Sih-Li Chen
Keyword(s):  
Heat Source ◽  
Thermal Resistance ◽  
Heat Sink ◽  
Parallel Plate ◽  
Source Area ◽  
Plate Heat ◽  
Uniform Heat ◽  
Source To Sink ◽  
Good Agreement

This paper develops an analytical model to predict the overall thermal resistance of a parallel plate heat sink associated with a non-uniform heat source. Using constrictive ratio and apparent interface ratio to interpret equivalent heat source area and maximal heat flux on source-to-sink contacting surface, the non-uniform heat source problem can be simplified as an equivalent uniform heat source problem. Then by using the existed correlations the present model can calculate the overall thermal resistance as a function of heat sink geometry, properties, interface conditions, and airflow velocity. An experimental investigation is performed to verify the theoretical model. Prediction results show good agreement with experimental measurements over a number of testing units. A case study of optimum is also proposed to demonstrate and understand the effects of variable constrictive ratio and apparent interface resistance.

Optimal Spacing Between Pin Fins With Impinging Flow

1996 ◽  
Vol 118 (3) ◽  
pp. 570-577 ◽  
Author(s):  
G. Ledezma ◽  
A. M. Morega ◽  
A. Bejan
Keyword(s):  
Heat Transfer ◽  
Thermal Conductance ◽  
Base Plate ◽  
Maximum Heat ◽  
Air Stream ◽  
Maximum Heat Transfer ◽  
Pin Fins ◽  
Plate Size ◽  
Optimal Spacing ◽  
Fin Thickness

This is an experimental numerical and theoretical study of the heat transfer on a pin-finned plate exposed to an impinging air stream. The pin fins are aligned with the air approach velocity. The base plate and the fin cross section are square. It is demonstrated experimentally that the thermal conductance between the plate and the air stream can be maximized by selecting the fin-to-fin spacing S. Next, a simplified numerical model is used to generate a large number of optimal spacing and maximum heat transfer data for various configurations, which differ with respect to fin length (H), fin thickness (D), base plate size (L), fluid type (Pr), and air velocity (ReL). Finally, the behavior of the optimal spacing data is explained and correlated theoretically based on the intersection of asymptotes method. The recommended correlations for optimal spacing, Sopt/L ≅ 0.81 Pr−0.25 ReL−0.32, and maximum thermal conductance, (q/ΔT)max/kaH ≅ 1.57 Pr0.45 ReL0.69 (L/D)0.31, cover the range D/L = 0.06 − 0.14, H/L = 0.28−0.56, Pr = 0.72−7, ReD = 10−700, and ReL = 90−6000.

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