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Shu'ba stroked lightly the earth with his hands and brought them close to his mouth (blew off the dust) and passed them over his face and then the backs of his hands. 'Ammar said, "Ablution (meaning Tayammum here) is sufficient for a Muslim if water is not available."

Volume 1, Book 7, Number 336:

    Narrated 'Abdur Rahman bin Abza:

    that while he was in the company of 'Umar, 'Ammar said to 'Umar, "We were in a detachment and became Junub and I blew the dust off my hands (performed the rolling over the earth and prayed.)"

Volume 1, Book 7, Number 337:

    Narrated 'Abdur Rahman bin Abza:

    'Ammar said to 'Umar "I rolled myself in the dust and came to the Prophet who said, 'Passing dusted hands over the face and the backs of the hands is sufficient for you.' "

Volume 1, Book 7, Number 338:

    Narrated 'Ammar:

    as above.

Volume 1, Book 7, Number 339:

    Narrated 'Ammar:

    The Prophet stroked the earth with his hands and then passed them over his face and the backs of his hands (while demonstrating Tayammum).

Volume 1, Book 7, Number 340:

    Narrated 'Imran:

    Once we were traveling with the Prophet and we carried on traveling till the last part of the night and then we (halted at a place) and slept (deeply). There is nothing sweeter than sleep for a traveler in the last part of the night. So it was only the heat of the sun that made us to wake up and the first to wake up was so and so, then so and so and then so and so (the narrator 'Auf said that Abu Raja' had told him their names but he had forgotten them) and the fourth person to wake up was 'Umar bin Al-Khattab. And whenever the Prophet used to sleep, nobody would wake up him till he himself used to get up as we did not know what was happening (being revealed) to him in his sleep. So, 'Umar got up and saw the condition of the people, and he was a strict man, so he said, "Allahu Akbar" and raised his voice with Takbir, and kept on saying loudly till the Prophet got up because of it. When he got up, the people informed him about what had happened to them. He said, "There is no harm (or it will not be harmful). Depart!" So they departed from that place, and after covering some distance the Prophet stopped and asked for some water to perform the ablution. So he performed the ablution and the call for the prayer was pronounced and he led the people in prayer. After he finished from the prayer, he saw a man sitting aloof who had not prayed with the people. He asked, "O so and so! What has prevented you from praying with us?" He replied, "I am Junub and there is no water. " The Prophet said, "Perform Tayammum with (clean) earth and that is sufficient for you."

    Then the Prophet proceeded on and the people complained to him of thirst. Thereupon he got down and called a person (the narrator 'Auf added that Abu Raja' had named him but he had forgotten) and 'Ali, and ordered them to go and bring water. So they went in search of water and met a woman who was sitting on her camel between two bags of water. They asked, "Where can we find water?" She replied, "I was there (at the place of water) this hour yesterday and my people are behind me." They requested her to accompany them. She asked, "Where?" They said, "To Allah's Apostle ." She said, "Do you mean the man who is called the Sabi, (with a new religion)?" They replied, "Yes, the same person. So come along." They brought her to the Prophet and narrated the whole story. He said, "Help her to dismount." The Prophet asked for a pot, then he opened the mouths of the bags and poured some water into the pot. Then he closed the big openings of the bags and opened the small ones and the people were called upon to drink and water their animals. So they all watered their animals and they (too) all quenched their thirst and also gave water to others and last of all the Prophet gave a pot full of water to the person who was Junub and told him to pour it over his body. The woman was standing and watching all that 
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