Temperature rise of catalytic supported crystallites

Hyperbolic heat conduction in catalytic supported crystallites

“…That can be seen, for example, by taking C to be very large in Equation (6). Then Equation ( (9). This is consistent with the conclusion of Baumeister and Hamill (13).…”

“…For example, time periods as short as sec. after reaction were considered by Luss (9). Under such circumstances the hyperbolic type equation may give significantly different results than the parabolic equation.…”

Hyperbolic heat conduction in catalytic supported crystallites

“…That can be seen, for example, by taking C to be very large in Equation (6). Then Equation ( (9). This is consistent with the conclusion of Baumeister and Hamill (13).…”

“…For example, time periods as short as sec. after reaction were considered by Luss (9). Under such circumstances the hyperbolic type equation may give significantly different results than the parabolic equation.…”

Magnetic determination of axial catalyst temperature profiles

“…This conclusion supports theoretical calculations (Luss, 1970; Steinbruchel and Schmidt, 1973;Holstein and Boudart, 1983), and the same conclusion has been derived from more recent experimental results (Sharma et al, 1988). Thus, the technique measures the bed average catalyst temperature that would be calculated by averaging over the solid phase, which is an experimental property not previously available.…”

Magnetic determination of average catalyst temperatures in fluidized beds

“…However, the fixed-bed magnetic thermometry has provided clear evidence that the time-average temperature of the nickel crystallites is the same as that of the surrounding support. This is expected for reactions with reasonable parameters (Luss, 1970;Holstein and Boudart, 1983) and should be valid for most catalytic reaction systems. In particular, it does not depend on the catalyst's state of fluidization.…”

Hyperbolic heat conduction in catalytic supported crystallites

“…That can be seen, for example, by taking C to be very large in Equation (6). Then Equation ( (9). This is consistent with the conclusion of Baumeister and Hamill (13).…”

“…For example, time periods as short as sec. after reaction were considered by Luss (9). Under such circumstances the hyperbolic type equation may give significantly different results than the parabolic equation.…”

Magnetic determination of axial catalyst temperature profiles

“…This conclusion supports theoretical calculations (Luss, 1970; Steinbruchel and Schmidt, 1973;Holstein and Boudart, 1983), and the same conclusion has been derived from more recent experimental results (Sharma et al, 1988). Thus, the technique measures the bed average catalyst temperature that would be calculated by averaging over the solid phase, which is an experimental property not previously available.…”

Magnetic determination of average catalyst temperatures in fluidized beds

“…However, the fixed-bed magnetic thermometry has provided clear evidence that the time-average temperature of the nickel crystallites is the same as that of the surrounding support. This is expected for reactions with reasonable parameters (Luss, 1970;Holstein and Boudart, 1983) and should be valid for most catalytic reaction systems. In particular, it does not depend on the catalyst's state of fluidization.…”

Hyperbolic heat conduction in catalytic supported crystallites

“…That can be seen, for example, by taking C to be very large in Equation (6). Then Equation ( (9). This is consistent with the conclusion of Baumeister and Hamill (13).…”

“…For example, time periods as short as sec. after reaction were considered by Luss (9). Under such circumstances the hyperbolic type equation may give significantly different results than the parabolic equation.…”

Magnetic determination of axial catalyst temperature profiles

“…This conclusion supports theoretical calculations (Luss, 1970; Steinbruchel and Schmidt, 1973;Holstein and Boudart, 1983), and the same conclusion has been derived from more recent experimental results (Sharma et al, 1988). Thus, the technique measures the bed average catalyst temperature that would be calculated by averaging over the solid phase, which is an experimental property not previously available.…”

Magnetic determination of average catalyst temperatures in fluidized beds

“…However, the fixed-bed magnetic thermometry has provided clear evidence that the time-average temperature of the nickel crystallites is the same as that of the surrounding support. This is expected for reactions with reasonable parameters (Luss, 1970;Holstein and Boudart, 1983) and should be valid for most catalytic reaction systems. In particular, it does not depend on the catalyst's state of fluidization.…”