A computer includes a flexible member or tube fabricated from thermally conductive carbon fibers for transferring heat from a first portion, such as a base section of a portable computer, to a second portion, such as the display section of a portable computer, where the sections of the computer move between an open operating position and a closed position. The flexible member, fabricated from conductive fibers, is positioned so as to experience torsion upon opening the portable computer. A first heat pipe is thermally connected with a microprocessor in the base section at one end and at the other end is coaxially attached within the member or tube. A second heat pipe is similarly coaxially attached to the other end of the member or tube. The other end of the second heat pipe is positioned within the display section between the LCD screen and the back surface of the portable computer with an aluminum center tab attached to the second heat pipe for dissipating heat from the microprocessor to the back surface of the display section of the portable computer. Advantageously, a method for transferring heat between movable portions of a computer is disclosed.