Experimental Determination of Thermal Conductivity of Cortical Bone by Compensating Heat Loss in Parallel Plate Method

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Abstract

This paper presents an experimental measurement of the thermal conductivity of bovine cortical bone by an improved parallel plate method to increase the accuracy of the measurement. An experimental apparatus was designed to measure the thermal conductivity of the cortical bone using a reference material with a known thermal conductivity by the heat transfer through the samples. To improve the measurement accuracy, a reference material was selected as quartz, which is of the same order of magnitude of the thermal conductivity of bovine cortical bone reported in the existing literature. Additionally, the temperatures at the heat source and heat sink were set to ±5°C from the ambient temperature to reduce the inevitable heat loss in the measurement. The temperature offset was determined numerically. The current experimental measurement was validated by an in-house finite-difference numerical program. The heat loss in the measurement was predicted from the numerical program. The thermal conductivity of the bovine cortical bone was then determined to be 0.55 ± 0.02 W/mK with compensating heat loss.

Keywords

Thermal conductivity Cortical bone Parallel plate method Heat loss Reference material 

Nomenclature

A

area

Bi

Biot number

Δ

difference

k

thermal conductivity

L

length

q

heat rate

R

sample radius

Rt

thermal resistance

r

radial direction of a cylindrical sample

T

temperature

V

volume

Z

longitudinal direction of a cylindrical sample

Subscripts

1

between bone specimen and cartridge heater

2

between bone specimen and reference material

3

between reference material and copper block

amb

ambient

b

bone specimen

c

characteristic

ins

insulation material

j

node index in the z direction

lg

heat loss and heat gain

m

modified

offset

offset

ref

reference material

s

surface

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Copyright information

© Korean Society for Precision Engineering and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of Mechanical EngineeringUniversity of the PacificStocktonUSA
  2. 2.School of Mechanical EngineeringKookmin UniversitySeoulRepublic of Korea

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