COMPUTATIONAL MODEL FOR HEAT TRANSFER COUPLED WITH FLUID FLOW WITHIN PERITONEAL CAVITY

Cytoreductive surgery (CRS) combined with hyperthermic intraperitoneal chemotherapy (HIPEC) has become an essential part of the management of peritoneal carcinomatosis [1,2]. HIPEC is a cancer treatment procedure that involves filling the abdominal cavity with chemotherapy drugs that have been heated (also known as “hot chemotherapy”). HIPEC is performed after the surgical procedure of removing tumors or lesions from the abdominal area. In the past 30 years, the approach of combining CRS with minimal residual disease and intraperitoneal (IP) chemotherapy emerged as one with a potential for long-term survival. Multiple strategies have been employed to measure the functional peritoneal surface area and determine the required perfusion volume. For that purpose, we have developed a novel computational model (consisted from peritoneal cavity with immersed organs, generated from STL files), with precisely calculated functional peritoneal surface area and cavity volume (for each patient). Using finite element procedure, we have managed to model a heat transfer inside the cavity, coupled with fluid flow. Further, we summarized solutions for velocity and temperature field, obtained using our software package PAK accompanied by the visualization in-house CAD software. Aim is to develop a novel protocol to calculate optimal volume of perfusion that could be easily integrated into the preoperative procedure and to help surgeons to deliver a precise dose of chemotherapy to the peritoneum cavity.

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Periodically Converging-Diverging Tubes and Their Turbulent Heat Transfer, Pressure Drop, Fluid Flow, and Enhancement Characteristics

Journal of Heat Transfer ◽

10.1115/1.3246659 ◽

1984 ◽

Vol 106 (1) ◽

pp. 55-63 ◽

Cited By ~ 25

Author(s):

P. Souza Mendes ◽

E. M. Sparrow

Keyword(s):

Heat Transfer ◽

Fluid Flow ◽

Surface Area ◽

Equal Mass ◽

Turbulent Heat Transfer ◽

Turbulent Heat ◽

Transfer Coefficients ◽

Pressure Drops ◽

Heat Transfer Coefficients ◽

Friction Factors

A comprehensive experimental study was performed to determine entrance region and fully developed heat transfer coefficients, pressure distributions and friction factors, and patterns of fluid flow in periodically converging and diverging tubes. The investigated tubes consisted of a succession of alternately converging and diverging conical sections (i.e., modules) placed end to end. Systematic variations were made in the Reynolds number, the taper angle of the converging and diverging modules, and the module aspect ratio. Flow visualizations were performed using the oil-lampblack technique. A performance analysis comparing periodic tubes and conventional straight tubes was made using the experimentally determined heat transfer coefficients and friction factors as input. For equal mass flow rate and equal transfer surface area, there are large enhancements of the heat transfer coefficient for periodic tubes, with accompanying large pressure drops. For equal pumping power and equal transfer surface area, enhancements in the 30–60 percent range were encountered. These findings indicate that periodic converging-diverging tubes possess favorable enhancement characteristics.

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A computational model for viscous fluid flow, heat transfer, and melting in in situ vitrification melt pools

10.2172/5504904 ◽

1991 ◽

Author(s):

P.R. McHugh ◽

J.D. Ramshaw

Keyword(s):

Heat Transfer ◽

Fluid Flow ◽

Viscous Fluid ◽

Computational Model ◽

Viscous Fluid Flow ◽

Flow Heat

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Investigation of Heat Transfer Enhancement Through Permeable Fins

Journal of Heat Transfer ◽

10.1115/1.4000056 ◽

2009 ◽

Vol 132 (3) ◽

Cited By ~ 4

Author(s):

A.-R. A. Khaled

Keyword(s):

Heat Transfer ◽

Fluid Flow ◽

Surface Area ◽

Energy Equation ◽

Free Stream ◽

Similarity Transformation ◽

Transfer Enhancement ◽

Suction Velocity ◽

Enhancing Heat Transfer ◽

Energy Equations

Heat transfer through rectangular permeable fins is modeled and analyzed theoretically in this work. The free stream fluid flow is considered to be normal to the upper surface of the permeable fin. The flow across the permeable fin is permitted in this work. The continuity, momentum, and energy equations are solved for the fluid flow using a similarity transformation and an iterative tridiagonal finite difference method. As such, a correlation for the Nusselt number is generated as functions of the Prandtl number (Pr) and dimensionless suction velocity (fo) for 0.7<Pr≤10 and 0<fo≤5, respectively. The energy equation for the permeable fin is generated and solved analytically using the developed correlation. It was found that permeable fins may have superiority in transferring heat over ordinary solid fins, especially at large fo values and moderate holes-to-fin surface area ratios. In addition, the critical holes-to-fin surface area ratios, below which the permeable fins transfer more heat than solid fins, is found to increase as Pr and fo increase. Finally, this work paves a way for a new passive method for enhancing heat transfer.

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A computational model for viscous fluid flow, heat transfer, and melting in in situ vitrification melt pools

10.2172/10140275 ◽

1991 ◽

Author(s):

P.R. McHugh ◽

J.D. Ramshaw

Keyword(s):

Heat Transfer ◽

Fluid Flow ◽

Viscous Fluid ◽

Computational Model ◽

Viscous Fluid Flow ◽

Flow Heat

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Role of the liver in small-solute transport during peritoneal dialysis.

Journal of the American Society of Nephrology ◽

10.1681/asn.v51116 ◽

1994 ◽

Vol 5 (1) ◽

pp. 116-120

Author(s):

M F Flessner ◽

R L Dedrick

Keyword(s):

Mass Transfer ◽

Peritoneal Dialysis ◽

Surface Area ◽

Peritoneal Cavity ◽

Distributed Model ◽

Blood Capillaries ◽

Peritoneal Surface ◽

Small Solute ◽

Good Agreement

Peritoneal dialysis (PD) is dependent on the transport of water and solutes from the blood capillaries within the tissues that surround the peritoneal cavity. Because of their large blood supply and surface area, the viscera have been considered the most important tissues for PD transport. In animals, however, removal of the gastrointestinal tract decreases PD small-solute mass transfer by only 10 to 27%. To investigate the theoretical basis for these observations, a distributed model of peritoneal transport was extended to take into account the transport characteristics of four tissue groups that surround the cavity: the liver, the hollow viscera, the abdominal wall, and the diaphragm. The mass transfer-area coefficient (MTAC) of sucrose for each tissue was calculated from the following: MTAC = ([D(pa)]0.5)A, where D is the effective solute interstitial diffusivity, pa is the solute transcapillary permeability-area per unit tissue volume, and A is the apparent peritoneal surface area of the tissue. Our results for the adult human predict that the MTAC for the liver is comparable to that of all of the other viscera and makes up 43% of the total MTAC for the peritoneal cavity. The predicted MTAC is 4 cm3/min (plasma) or 6 cm3/min (blood), in good agreement with published values. It is concluded that the liver is responsible for a major portion of the small-solute MTAC. This also explains the earlier observations in eviscerated animals whose PD transport was likely preserved by intact livers.

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