Sensitivity Analysis of One-Dimensional Heat Transfer in Tissue With Temperature-Dependent Perfusion

1997 ◽  
Vol 119 (1) ◽  
pp. 77-80 ◽  
Author(s):  
C. R. Davies ◽  
G. M. Saidel ◽  
H. Harasaki
Keyword(s):  
Heat Transfer ◽  
Sensitivity Analysis ◽  
Heated Surface ◽  
Experimental Studies ◽  
Total Artificial Heart ◽  
Tissue Temperature ◽  
Model Parameters ◽  
Temperature Dependent ◽  
One Dimensional

Design criteria for implantable, heat-generating devices such as the total artificial heart require the determination of safe thresholds for chronic heating. This involves in-vivo experiments in which tissue temperature distributions are obtained in response to known heat sources. Prior to experimental studies, simulation using a mathematical model can help optimize the design of experiments. In this paper, a theoretical analysis of heat transfer is presented that describes the dynamic, one-dimensional distribution of temperature from a heated surface. Loss of heat by perfusion is represented by temperature-independent and temperature-dependent terms that can reflect changes in local control of blood flow. Model simulations using physiologically appropriate parameter values indicate that the temperature elevation profile caused by a heated surface adjacent to tissue may extend several centimeters into the tissue. Furthermore, sensitivity analysis indicates the conditions under which temperature profiles are sensitive to changes in thermal diffusivity and perfusion parameters. This information provides the basis for estimation of model parameters in different tissues and for prediction of the thermal responses of these tissues.

Thermal-Electric Finite Element Analysis of Electrosurgical Cautery Process

2007 ◽  
Author(s):  
Robert E. Dodde ◽  
Scott F. Miller ◽  
Albert J. Shih ◽  
James D. Geiger
Keyword(s):  
Heat Transfer ◽  
Electrical Conductivity ◽  
Finite Element ◽  
Biological Tissue ◽  
Tissue Temperature ◽  
Temperature Dependent ◽  
Element Analysis ◽  
Temperature Dependent Thermal Conductivity ◽  
Insight Into ◽  
Good Agreement

Cautery is a process to coagulate tissues and seal blood vessels using the heat. In this study, finite element modeling (FEM) was performed to analyze temperature distribution in biological tissue subject to cautery electrosurgical technique. FEM can provide detailed insight into the heat transfer in biological tissue to reduce the collateral thermal damage and improve the safety of cautery surgical procedure. A coupled thermal-electric FEM module was applied with temperature-dependent electrical and thermal properties for the tissue. Tissue temperature was measured at different locations during the electrosurgical experiments and compared to FEM results with good agreement. The temperature-dependent electrical conductivity has demonstrated to be critical. In comparison, the temperature-dependent thermal conductivity does not impact heat transfer as much as the electrical conductivity. FEM results show that the thermal effects can be varied with the electrode geometry that focuses the current density at the midline of the instrument profile.

Experimental studies of the propagation of combustion in solids

1992 ◽  
Vol 339 (1654) ◽  
pp. 387-394 ◽  
Keyword(s):  
Heat Transfer ◽  
Thermal Analysis ◽  
Steady State ◽  
Chemical Kinetics ◽  
Profile Analysis ◽  
Numerical Models ◽  
Experimental Studies ◽  
Dimensional Model ◽  
Thermal Methods ◽  
One Dimensional

The application of thermal methods to the study of steady-state combustion is described. Such methods provide a route to information on heat transfer and chemical kinetics which forms a basis for the implementation of numerical models. The experimental results from thermal analysis and temperature profile analysis have been examined within the context of a simple pseudo one-dimensional model of propagation offering some confirmation of the validity of the approach.

scholarly journals Cooling Caramel in Ethyl Alcohol: Constructing a Mathematical Model

2020 ◽  
Vol 50 (3) ◽  
pp. 425-438
Author(s):  
Anatoly Khvostov ◽  
Gazibeg Magomedov ◽  
Viktor Ryazhskikh ◽  
Inessa Plotnikova ◽  
Aleksey Zhuravlev ◽  
...  
Keyword(s):  
Heat Transfer ◽  
Mathematical Model ◽  
High Performance ◽  
Experimental Studies ◽  
Transient Heat Conduction ◽  
Flow Speed ◽  
Model Parameters ◽  
Air Cooling ◽  
Radial Temperature ◽  
Cooling Period

Introduction. The process of air-cooling caramel remains one of the most complicated issues of contemporary food industry, since it is time-consuming and requires multi-level cooling units. Therefore, the development of an innovative method of cooling caramel in “cold” potable ethanol is an urgent task the modern food science has to solve. The method op-timizes and intensifies the technological process, as it reduces production areas by eliminating some technological stages and complex units of metal-intensive and energyintensive equipment. It gives caramel antiseptic properties and a perfectly smooth, shiny, and dry surface. Study objects and methods. The research objective was to develop a fundamentally new and promising caramel technology. The experimental studies on the production and cooling were performed in a mixing and forming multi-unit with a high-performance cooling chamber. The chamber had functions of automatic measurements and control of the main parameters of the cooling process. The research used “cold” potable ethanol. Results and discussion. The paper introduces a mathematical model of the process of cooling caramel in ethanol. It includes heat transfer processes in alcohol, in the caramel mass, and on their border. The model was based on equations of transient heat conduction in a sphere. The process of heat exchange with the environment, i.e. alcohol, was characterized by the coefficient of heat transfer from the sphere. The model parameters included dynamic viscosity, density, thermal conductivity coefficient, and specific heat capacity. Based on the experimental data, the parameters were ap-proximated as a function of temperature by a cubic polynomial. Conclusion. The developed mathematical model made it possible to estimate the radial temperature distribution of caramel in the form of a sphere during its convective cooling in ethanol. The model also predicted the change in the average volume temperature of the caramel and energy costs depending on the cooling period, the flow speed of the ethanol, the thermophysical properties of the caramel and the cooling agent. The proposed mathematical model can be used to calculate the required consumption of ethanol for cooling and backwater of the caramel production line.

scholarly journals Influence of Convective and Radiative Cooling on Heat Transfer for a Thin Wire with Temperature-Dependent Thermal Conductivity

2022 ◽  
Vol 17 ◽  
pp. 1-9
Author(s):  
Okey Oseloka Onyejekwe
Keyword(s):  
Heat Transfer ◽  
Thermal Conductivity ◽  
Initial Conditions ◽  
Traditional Approach ◽  
Numerical Technique ◽  
System Of Nonlinear Equations ◽  
Thin Wire ◽  
Temperature Dependent ◽  
One Dimensional ◽  
Temperature Dependent Thermal Conductivity

In this study, a numerical prediction of temperature profiles in a thin wire exposed to convective, radiative and temperature-dependent thermal conductivity is carried out using a finite-difference linearization approach. The procedure involves a numerical solution of a one-dimensional nonlinear unsteady heat transfer equation with specified boundary and initial conditions. The resulting system of nonlinear equations is solved with the Newton-Raphson’s technique. However unlike the traditional approach involving an initial discretization in space then in time, a different numerical paradigm involving an Euler scheme temporal discretization is applied followed by a spatial discretization. Appropriate numerical technique involving partial derivatives are devised to handle a squared gradient nonlinear term which plays a key role in the formulation of the Jacobian matrix. Tests on the numerical results obtained herein confirm the validity of the formulation.

Solving One-Dimensional Partial Differential Equations

2021 ◽  
pp. 191-215
Keyword(s):  
Heat Transfer ◽  
Fluid Flow ◽  
Partial Differential Equations ◽  
Differential Equations ◽  
Boundary Conditions ◽  
Material Properties ◽  
Final Part ◽  
Temperature Dependent ◽  
Partial Differential ◽  
One Dimensional

This chapter describes the pdepe command, which is used to solve spatially one-dimensional partial differential equations (PDEs). It begins with a description of the standard forms of PDEs and its initial and boundary conditions that the pdepe solver uses. It is shown how various PDEs and boundary conditions can be represented in standard forms. Applications to the mechanics are presented in the final part of the chapter. They illustrate how to solve: heat transfer PDE with temperature dependent material properties, startup velocities of the fluid flow in a pipe, Burger's PDE, and coupled FitzHugh-Nagumo PDE.

scholarly journals Global sensitivity analysis of a pure steam dropwise condensation heat transfer model

2021 ◽  
Vol 2116 (1) ◽  
pp. 012012
Author(s):  
Jakob Sablowski ◽  
Simon Unz ◽  
Michael Beckmann
Keyword(s):  
Heat Transfer ◽  
Sensitivity Analysis ◽  
High Sensitivity ◽  
Nucleation Site ◽  
Heat Transfer Model ◽  
Model Parameters ◽  
Transfer Model ◽  
Dropwise Condensation ◽  
Input Parameters ◽  
Pure Steam

Abstract Established heat transfer models for dropwise condensation (DWC) consider wetting behavior, surface structure and nucleation dynamics to calculate the heat flux. However, model results often deviate from experiments, in part due to uncertainties of the model input parameters. In this study, we apply quantitative sensitivity analysis to a pure steam DWC heat transfer model in order to attribute the variation of the model result to its input parameters. Four scenarios with different variations of the model parameters are discussed and sensitivity coefficients for each parameter are calculated. Our results show a high sensitivity of the model result towards the coating thickness, the contact angle and the nucleation site density, underlining the need to accurately determine these parameters in DWC experiments.

Design and Development of a Jet Impingement Facility for Experimental Studies

2001 ◽  
Author(s):  
Jason R. Allen ◽  
Ann M. Anderson
Keyword(s):  
Heat Transfer ◽  
Undergraduate Students ◽  
Heated Surface ◽  
Experimental Studies ◽  
Jet Impingement ◽  
Design And Development ◽  
Impingement Heat Transfer ◽  
Air Supply ◽  
Final Design ◽  
Jet Nozzle

Abstract This paper describes the design and development of a facility for the study of jet impingement heat transfer. The facility was designed to teach undergraduate students about the relation between fluid mechanics and convective heat transfer. It consists of a heated surface mounted perpendicular to a 9.8 by 3.8 cm slot jet nozzle on an adjustable base. A small compact blower serves as the air supply and is also mounted on the base. The jet to surface gap distance can be varied from 0 to 25 cm and the jet velocity can be varied from 2 to 15 m/s. The system uses particle image velocimetry (PIV) to measure the impinging flow velocities and liquid crystal thermography (LCT) to measure the temperatures on the heated surface. This paper will discuss the design constraints, the design options, and several analyses used to size the jet nozzle and the heat transfer surface. The final design will be presented as well as some typical PIV and LC results which illustrate the jet impingement cooling phenomena.

Thermal-Electric Finite Element Analysis and Experimental Validation of Bipolar Electrosurgical Cautery

2008 ◽  
Vol 130 (2) ◽  
Author(s):  
Robert E. Dodde ◽  
Scott F. Miller ◽  
James D. Geiger ◽  
Albert J. Shih
Keyword(s):  
Heat Transfer ◽  
Electrical Conductivity ◽  
Finite Element ◽  
Temperature Distribution ◽  
Tissue Temperature ◽  
Temperature Dependent ◽  
Element Analysis ◽  
Temperature Dependent Thermal Conductivity ◽  
Insight Into ◽  
Good Agreement

Cautery is a process to coagulate tissues and seal blood vessels using heat. In this study, finite element modeling (FEM) was performed to analyze temperature distribution in biological tissue subject to a bipolar electrosurgical technique. FEM can provide detailed insight into the tissue heat transfer to reduce the collateral thermal damage and improve the safety of cautery surgical procedures. A coupled thermal-electric FEM module was applied with temperature-dependent electrical and thermal properties for the tissue. Tissue temperature was measured using microthermistors at different locations during the electrosurgical experiments and compared to FEM results with good agreement. The temperature- and compression-dependent electrical conductivity has a significant effect on temperature profiles. In comparison, the temperature-dependent thermal conductivity does not impact heat transfer as much as the temperature-dependent electrical conductivity. Detailed results of temperature distribution were obtained from the model. The FEM results show that the temperature distribution can be changed with different electrode geometries. A flat electrode was modeled that focuses the current density at the midline of the instrument profile resulting in higher peak temperature than that of the grooved electrode (105 versus 96°C).

Energy Considerations in the Spreading of LNG on Sea Water

2008 ◽  
Author(s):  
A. Subramani ◽  
S. Jayanti
Keyword(s):  
Heat Transfer ◽  
Sea Water ◽  
Current Model ◽  
Theoretical Models ◽  
Effect Of Temperature ◽  
Test Case ◽  
Hazardous Substance ◽  
Temperature Dependent ◽  
One Dimensional ◽  
Conventional Models

The spreading of an accidental spill of Liquefied Natural Gas (LNG) on sea water has been studied for many years and several theoretical models have been proposed and successfully used. Many modeling techniques have been used by researchers for the spreading of LNG. However, most of these neglect the heat transfer aspects related to the spreading, and the effect of temperature dependent properties such as density, thermal conductivity and specific heat of LNG is not included in the analysis. In the present study, this situation is redressed by including the depth-averaged energy equation in a one-dimensional model of the spreading of LNG on sea water. The thermophysical and transport properties of the fluid are made temperature-dependent and heat transfer to the pool from the water below and the flame above are included. The resulting set of coupled one-dimensional mass, radial momentum and energy balance equations are solved numerically using an explicit, second order-accurate finite difference method-based discretization of the governing equations. Results obtained in the present study show that the incorporation of the variable properties gives significantly improved predictions over conventional models. The predicted results are compared with the experimental results of Raj et al [1], and with a conventional, constant-properties model of Fay [2] for the test case #12. Excellent agreement is found between the current model predictions and the experimental data while the conventional model overpredicts the pool diameter for longer times. It is demonstrated that the present approach is inherently capable of distinguishing between the spreading of different LNG mixtures, and can therefore be readily extended to the analysis of the accidental spill of any other hazardous substance.

Sign in / Sign up

Export Citation Format

Share Document