Coefficients are reported for transfer of heat from a horizontal cylinder and from vertical, flat surfaces (paired back-to-back, closely spaced-apart) to 30-mm deep vibrated beds (25 Hz) of alumina spheres and high- and low-density glass beads (at sizes from 63 to 707 mu m). In general, the flat surfaces afford higher coefficients, but heat transfer is sensitive to pattern and vigor of powder circulation. No broadly general explanation or correlation of vibrated-bed heat transfer can be given; but the body of data provides leads for the engineer wishing to develop a vibrated-bed heat-exchanger design for non-sticky particulate matter. The leads hold promise of coefficients beyond 500 W/m(2) K, even perhaps approaching 1000.