A flameless cooking apparatus for use with liquid fuels and for indoor or outdoor use under field operations. The burner exhibits low CO and hydrocarbon emissions and meets standards for burner thermal efficiency when used with JP-8 fuel. The apparatus employs a catalytic burner having among its parts (i) a combustion catalyst; (ii) a conductive surface, e.g., cooking surface; and (iii) in between the catalyst and the conductive surface and in direct physical contact with both surfaces, a heat spreader for conductively transferring heat of combustion from the catalyst to the conductive surface. Also claimed are a method of heat flux and a method of cooking.