This report concerns so called 'high density, low velocity' pneumatic conveying method of granular materials. This method of transport of granules has two big profits. Namely, i) it is suitable for the transport of fragile granules and ii) it causes smaller abrasion inside surface of the duct owing to the low velocity of granules. To avoid the breakage of fragile granules we prepaired test equipment in which the granules are conveyed as clusters (a train of slugs) with very slow velocity (about 1m/s). This time, we made a test of transport with the horizontal square duct (cross section