Page 68 - Biomedical Engineering and Design Handbook Volume 1, Fundamentals
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HEAT TRANSFER APPLICATIONS IN BIOLOGICAL SYSTEMS  45

                                  37.5
                                   37

                                  36.5
                                 Tissue Temperature (°C)  35.5  Blood temperature
                                   36

                                                              Maximum tissue temperature
                                                              Minimum skin temperature
                                   35
                                                              Volumetric average temperature
                                  34.5
                                                              Weighted average temperature
                                   34

                                  33.5
                                      0         5          10        15         20         25
                                                            Time (minute)
                               FIGURE 2.4 Temperature decays during the cooling process using the implicit scheme.


                          It is well known that strenuous exercise increases cardiac output, redistributes blood flow from inter-
                          nal organs to muscle, increases metabolism in exercising muscle, and enhances heat transfer to the
                          skin. The whole body model can be easily modified to also include a skin layer and a fat layer in the
                          compartments of the limbs. Further, redistribution of blood flow from the internal organs to the mus-
                          culature can be modeled as changes of the local blood perfusion rate in the respective compartments
                          and the enhanced skin heat transfer can be adjusted for by inducing evaporation at the skin surface


                                    0.1
                                                              Blood temperature
                                   0.09
                                                              Maximum tissue temperature
                                   0.08                       Volumetric average temperature
                                  Cooling Rate (°C/min)  0.06  Weighted average temperature
                                   0.07


                                   0.05
                                   0.04
                                   0.03
                                   0.02
                                   0.01
                                      0
                                       0            5           10          15           20
                                                            Time (minute)
                                 FIGURE 2.5 Induced cooling rates of the blood temperature, the maximum temperature, the
                                 volumetric average temperature, and the weighted average temperature.
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